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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
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    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation （1.5x-5.5)(5.5+0.5x) = (22-4x)(22-4x)/（11-x)(11-x) .
    Question type: Equation
    Solution:Original question:
     (
3
2
 x −
11
2
)(
11
2
 +
1
2
 x ) = (22 − 4 x )(22 − 4 x ) ÷ (11 − x ) × (11 − x )
     Multiply both sides of the equation by:(11 − x )
     (
3
2
 x −
11
2
)(
11
2
 +
1
2
 x )(11 − x ) = (22 − 4 x )(22 − 4 x )(11 − x )
    Remove a bracket on the left of the equation:：
     
3
2
 x (
11
2
 +
1
2
 x )(11 − x ) −
11
2
(
11
2
 +
1
2
 x )(11 − x ) = (22 − 4 x )(22 − 4 x )(11 − x )
    Remove a bracket on the right of the equation:：
     
3
2
 x (
11
2
 +
1
2
 x )(11 − x ) −
11
2
(
11
2
 +
1
2
 x )(11 − x ) = 22(22 − 4 x )(11 − x ) − 4 x (22 − 4 x )(11 − x )
    Remove a bracket on the left of the equation:
     
3
2
 x ×
11
2
(11 − x ) +
3
2
 x ×
1
2
 x (11 − x ) −
11
2
(
11
2
 +
1
2
 x )(11 − x ) = 22(22 − 4 x )(11 − x ) − 4 x (22 − 4 x )(11 − x )
    Remove a bracket on the right of the equation:：
     
3
2
 x ×
11
2
(11 − x ) +
3
2
 x ×
1
2
 x (11 − x ) −
11
2
(
11
2
 +
1
2
 x )(11 − x ) = 22 × 22(11 − x ) − 22 × 4 x (11 − x ) − 4 x (22 − 4 x )(11 − x )
    The equation is reduced to :
     
33
4
 x (11 − x ) +
3
4
 x x (11 − x ) −
11
2
(
11
2
 +
1
2
 x )(11 − x ) = 484(11 − x ) − 88 x (11 − x ) − 4 x (22 − 4 x )(11 − x )
    Remove a bracket on the left of the equation:
     
33
4
 x × 11 −
33
4
 x x +
3
4
 x x (11 − x ) −
11
2
(
11
2
 +
1
2
 x ) = 484(11 − x ) − 88 x (11 − x ) − 4 x (22 − 4 x )(11 − x )
    Remove a bracket on the right of the equation:：
     
33
4
 x × 11 −
33
4
 x x +
3
4
 x x (11 − x ) −
11
2
(
11
2
 +
1
2
 x ) = 484 × 11 − 484 x − 88 x (11 − x ) − 4 x (22 − 4 x )(11 − x )
    The equation is reduced to :
     
363
4
 x −
33
4
 x x +
3
4
 x x (11 − x ) −
11
2
(
11
2
 +
1
2
 x )(11 − x ) = 5324 − 484 x − 88 x (11 − x ) − 4 x (22 − 4 x )(11 − x )
    Remove a bracket on the left of the equation:
     
363
4
 x −
33
4
 x x +
3
4
 x x × 11 −
3
4
 x x = 5324 − 484 x − 88 x (11 − x ) − 4 x (22 − 4 x )(11 − x )
    Remove a bracket on the right of the equation:：
     
363
4
 x −
33
4
 x x +
3
4
 x x × 11 −
3
4
 x x = 5324 − 484 x − 88 x × 11 + 88 x x − 4 x (22 − 4 x )
    The equation is reduced to :
     
363
4
 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 484 x − 968 x + 88 x x − 4 x (22 − 4 x )(11 − x )
    The equation is reduced to :
     
363
4
 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 1452 x + 88 x x − 4 x (22 − 4 x )(11 − x )
    Remove a bracket on the left of the equation:
     
363
4
 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 1452 x + 88 x x − 4 x (22 − 4 x )(11 − x )
    Remove a bracket on the right of the equation:：
     
363
4
 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 1452 x + 88 x x − 4 x × 22(11 − x ) + 4 x
    The equation is reduced to :
     
363
4
 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 1452 x + 88 x x − 88 x (11 − x ) + 16 x x
    Remove a bracket on the left of the equation:
     
363
4
 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 1452 x + 88 x x − 88 x (11 − x ) + 16 x x
    Remove a bracket on the right of the equation:：
     
363
4
 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 1452 x + 88 x x − 88 x × 11 + 88 x x
    The equation is reduced to :
     
363
4
 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 1452 x + 88 x x − 968 x + 88 x x + 16
    The equation is reduced to :
     121 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 2420 x + 88 x x + 88 x x + 16 x x
    Remove a bracket on the left of the equation:
     121 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 2420 x + 88 x x + 88 x x + 16 x x
    Remove a bracket on the right of the equation:：
     121 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 2420 x + 88 x x + 88 x x + 16 x x
    The equation is reduced to :
     121 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 2420 x + 88 x x + 88 x x + 176 x x
    The equation is reduced to :
     
363
4
 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 2420 x + 88 x x + 88 x x + 176 x x
    The equation can be reduced to :
     
363
4
 x −
33
4
 x x +
33
4
 x x −
3
4
 x x x = 5324 − 2420 x + 88 x x + 88 x x + 176 x x

    The solution of the equation:
        x1≈4.650457 , keep 6 decimal places
        x2≈7.251182 , keep 6 decimal places    
    There are 2 solution(s).

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