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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 3.5*3000/x+(7500/x-350)*(3.5-0.2x)+200(0.8(3.5+x)-1.2x) = 12060 .
    Question type: Equation
    Solution:Original question:
     
7
2
× 3000 ÷ x + (7500 ÷ x 350)(
7
2
1
5
x ) + 200(
4
5
(
7
2
+ x )
6
5
x ) = 12060
     Multiply both sides of the equation by: x
     
7
2
× 3000 + (7500 ÷ x 350)(
7
2
1
5
x ) x + 200(
4
5
(
7
2
+ x )
6
5
x ) x = 12060 x
    Remove a bracket on the left of the equation::
     
7
2
× 3000 + 7500 ÷ x × (
7
2
1
5
x ) x 350(
7
2
1
5
x ) x + 200(
4
5
(
7
2
+ x )
6
5
x ) x = 12060 x
    The equation is reduced to :
     10500 + 7500 ÷ x × (
7
2
1
5
x ) x 350(
7
2
1
5
x ) x + 200(
4
5
(
7
2
+ x )
6
5
x ) x = 12060 x
    Remove a bracket on the left of the equation:
     10500 + 7500 ÷ 1 ×
7
2
× 17500 ÷ 1 ×
1
5
x × 1350(
7
2
1
5
x ) = 12060 x
    The equation is reduced to :
     10500 + 262501500 x 350(
7
2
1
5
x ) x + 200(
4
5
(
7
2
+ x )
6
5
x ) x = 12060 x
    The equation is reduced to :
     367501500 x 350(
7
2
1
5
x ) x + 200(
4
5
(
7
2
+ x )
6
5
x ) x = 12060 x
    Remove a bracket on the left of the equation:
     367501500 x 350 ×
7
2
x + 350 ×
1
5
x x + 200(
4
5
(
7
2
+ x )
6
5
x ) = 12060 x
    The equation is reduced to :
     367501500 x 1225 x + 70 x x + 200(
4
5
(
7
2
+ x )
6
5
x ) x = 12060 x
    The equation is reduced to :
     367502725 x + 70 x x + 200(
4
5
(
7
2
+ x )
6
5
x ) x = 12060 x
    Remove a bracket on the left of the equation:
     367502725 x + 70 x x + 200 ×
4
5
(
7
2
+ x ) x 200 ×
6
5
= 12060 x
    The equation is reduced to :
     367502725 x + 70 x x + 160(
7
2
+ x ) x 240 x x = 12060 x
    Remove a bracket on the left of the equation:
     367502725 x + 70 x x + 160 ×
7
2
x + 160 x x = 12060 x
    The equation is reduced to :
     367502725 x + 70 x x + 560 x + 160 x x 240 = 12060 x
    The equation is reduced to :
     367502165 x + 70 x x + 160 x x 240 x x = 12060 x

    
        x≈2.578805 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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