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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.
    It supports equations that contain mathematical functions.
    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 330x = 0.9*x*(66+x)*(2.89+(66*x/(66+x))) .
    Question type: Equation
    Solution:Original question:
     330 x =
9
10
 x (66 + x )(
289
100
 + (66 x ÷ (66 + x )))
    Remove a bracket on the right of the equation:：
     330 x =
9
10
 x × 66(
289
100
 + (66 x ÷ (66 + x ))) +
9
10
 x x (
289
100
 + (66 x ÷ (66 + x )))
    The equation is reduced to :
     330 x =
297
5
 x (
289
100
 + (66 x ÷ (66 + x ))) +
9
10
 x x (
289
100
 + (66 x ÷ (66 + x )))
    Remove a bracket on the right of the equation:：
     330 x =
297
5
 x ×
289
100
 +
297
5
 x (66 x ÷ (66 + x )) +
9
10
 x x (
289
100
 + (66 x ÷ (66 + x )))
    The equation is reduced to :
     330 x =
85833
500
 x +
297
5
 x (66 x ÷ (66 + x )) +
9
10
 x x (
289
100
 + (66 x ÷ (66 + x )))
    Remove a bracket on the right of the equation:：
     330 x =
85833
500
 x +
297
5
 x × 66 x ÷ (66 + x ) +
9
10
 x x (
289
100
 + (66 x ÷ (66 + x )))
    The equation is reduced to :
     330 x =
85833
500
 x +
19602
5
 x x ÷ (66 + x ) +
9
10
 x x (
289
100
 + (66 x ÷ (66 + x )))
     Multiply both sides of the equation by:(66 + x )
     330 x (66 + x ) =
85833
500
 x (66 + x ) +
19602
5
 x x +
9
10
 x x (
289
100
 + (66 x ÷ (66 + x )))(66 + x )
    Remove a bracket on the left of the equation:
     330 x × 66 + 330 x x =
85833
500
 x (66 + x ) +
19602
5
 x x +
9
10
 x x (
289
100
 + (66 x ÷ (66 + x )))(66 + x )
    Remove a bracket on the right of the equation:：
     330 x × 66 + 330 x x =
85833
500
 x × 66 +
85833
500
 x x +
19602
5
 x x +
9
10
 x x
    The equation is reduced to :
     21780 x + 330 x x =
2832489
250
 x +
85833
500
 x x +
19602
5
 x x +
9
10
 x x (
289
100
 + (66 x ÷ (66 + x )))
    Remove a bracket on the right of the equation:：
     21780 x + 330 x x =
2832489
250
 x +
85833
500
 x x +
19602
5
 x x +
9
10
 x x ×
289
100
    The equation is reduced to :
     21780 x + 330 x x =
2832489
250
 x +
85833
500
 x x +
19602
5
 x x +
2601
1000
 x x (66 + x )
    Remove a bracket on the right of the equation:：
     21780 x + 330 x x =
2832489
250
 x +
85833
500
 x x +
19602
5
 x x +
2601
1000
 x x × 66
    The equation is reduced to :
     21780 x + 330 x x =
2832489
250
 x +
85833
500
 x x +
19602
5
 x x +
85833
500
 x x +
2601
1000
    Remove a bracket on the right of the equation:：
     21780 x + 330 x x =
2832489
250
 x +
85833
500
 x x +
19602
5
 x x +
85833
500
 x x +
2601
1000
    The equation is reduced to :
     21780 x + 330 x x =
2832489
250
 x +
85833
500
 x x +
19602
5
 x x +
85833
500
 x x +
2601
1000
     Multiply both sides of the equation by:(66 + x )
     21780 x (66 + x ) + 330 x x (66 + x ) =
2832489
250
 x (66 + x ) +
85833
500
 x x (66 + x ) +
19602
5
 x x (66 + x ) +
85833
500
    Remove a bracket on the left of the equation:
     21780 x × 66 + 21780 x x + 330 x x (66 + x ) =
2832489
250
 x (66 + x ) +
85833
500
 x x (66 + x ) +
19602
5
 x x (66 + x ) +
85833
500
    Remove a bracket on the right of the equation:：
     21780 x × 66 + 21780 x x + 330 x x (66 + x ) =
2832489
250
 x × 66 +
2832489
250
 x x +
85833
500
 x x (66 + x ) +
19602
5
 x
    The equation is reduced to :
     1437480 x + 21780 x x + 330 x x (66 + x ) =
93472137
125
 x +
2832489
250
 x x +
85833
500
 x x (66 + x ) +
19602
5
 x x
    Remove a bracket on the left of the equation:
     1437480 x + 21780 x x + 330 x x × 66 + 330 x x =
93472137
125
 x +
2832489
250
 x x +
85833
500
 x x (66 + x ) +
19602
5
 x x
    Remove a bracket on the right of the equation:：
     1437480 x + 21780 x x + 330 x x × 66 + 330 x x =
93472137
125
 x +
2832489
250
 x x +
85833
500
 x x × 66 +
85833
500
 x x
    The equation is reduced to :
     1437480 x + 21780 x x + 21780 x x + 330 x x x =
93472137
125
 x +
2832489
250
 x x +
2832489
250
 x x +
85833
500
 x x x

    After the equation is converted into a general formula, there is a common factor:
    ( x +0 )
    From
        x + 0 = 0
    it is concluded that:：
        x1=0
    Solutions that cannot be obtained by factorization:
        x2≈2.553733 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


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