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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 19*3*1.2*x*0.5*x/3*x = 2*(11.7*(3.6+x)*0.5*(3.6+x)+19*(3.6+x)*1.2*0.33*0.5*(3.6+x)/3*(3.6+x)) .
    Question type: Equation
    Solution:Original question:
     19 × 3 ×
6
5
 x ×
1
2
 x ÷ 3 × x = 2(
117
10
(
18
5
 + x ) ×
1
2
(
18
5
 + x ) + 19(
18
5
 + x ) ×
6
5
 ×
33
100
 ×
1
2
(
18
5
 + x ) ÷ 3 × (
18
5
 + x ))
     Left side of the equation =
57
5
 x x x
    The equation is transformed into :
     
57
5
 x x x = 2(
117
10
(
18
5
 + x ) ×
1
2
(
18
5
 + x ) + 19(
18
5
 + x ) ×
6
5
 ×
33
100
 ×
1
2
(
18
5
 + x ) ÷ 3 × (
18
5
 + x ))
    Remove the bracket on the right of the equation:
     Right side of the equation = 2 ×
117
10
(
18
5
 + x ) ×
1
2
(
18
5
 + x ) + 2 × 19(
18
5
 + x ) ×
6
5
 ×
33
100
 ×
1
2
(
18
5
 + x )
                                               =
117
10
(
18
5
 + x )(
18
5
 + x ) +
627
250
(
18
5
 + x )(
18
5
 + x )(
18
5
 + x )
                                               =
117
10
 ×
18
5
(
18
5
 + x ) +
117
10
 x (
18
5
 + x ) +
627
250
(
18
5
 + x )(
18
5
 + x )(
18
5
 + x )
                                               =
1053
25
(
18
5
 + x ) +
117
10
 x (
18
5
 + x ) +
627
250
(
18
5
 + x )(
18
5
 + x )(
18
5
 + x )
                                               =
1053
25
 ×
18
5
 +
1053
25
 x +
117
10
 x (
18
5
 + x ) +
627
250
(
18
5
 + x )(
18
5
 + x )(
18
5
 + x )
                                               =
18954
125
 +
1053
25
 x +
117
10
 x (
18
5
 + x ) +
627
250
(
18
5
 + x )(
18
5
 + x )(
18
5
 + x )
                                               =
18954
125
 +
1053
25
 x +
117
10
 x ×
18
5
 +
117
10
 x x +
627
250
(
18
5
 + x )(
18
5
 + x )
                                               =
18954
125
 +
1053
25
 x +
1053
25
 x +
117
10
 x x +
627
250
(
18
5
 + x )(
18
5
 + x )(
18
5
 + x )
                                               =
18954
125
 +
2106
25
 x +
117
10
 x x +
627
250
(
18
5
 + x )(
18
5
 + x )(
18
5
 + x )
                                               =
18954
125
 +
2106
25
 x +
117
10
 x x +
627
250
 ×
18
5
(
18
5
 + x )(
18
5
 + x ) +
627
250
 x
                                               =
18954
125
 +
2106
25
 x +
117
10
 x x +
5643
625
(
18
5
 + x )(
18
5
 + x ) +
627
250
 x (
18
5
 + x )
                                               =
18954
125
 +
2106
25
 x +
117
10
 x x +
5643
625
 ×
18
5
(
18
5
 + x ) +
5643
625
 x (
18
5
 + x )
                                               =
18954
125
 +
2106
25
 x +
117
10
 x x +
101574
3125
(
18
5
 + x ) +
5643
625
 x (
18
5
 + x ) +
627
250
                                               =
18954
125
 +
2106
25
 x +
117
10
 x x +
101574
3125
 ×
18
5
 +
101574
3125
 x +
5643
625
 x
                                               =
18954
125
 +
2106
25
 x +
117
10
 x x +
1828332
15625
 +
101574
3125
 x +
5643
625
 x (
18
5
 + x )
                                               =
4197582
15625
 +
364824
3125
 x +
117
10
 x x +
5643
625
 x (
18
5
 + x ) +
627
250
 x (
18
5
 + x )
                                               =
4197582
15625
 +
364824
3125
 x +
117
10
 x x +
5643
625
 x ×
18
5
 +
5643
625
 x x
                                               =
4197582
15625
 +
364824
3125
 x +
117
10
 x x +
101574
3125
 x +
5643
625
 x x +
627
250
                                               =
4197582
15625
 +
466398
3125
 x +
117
10
 x x +
5643
625
 x x +
627
250
 x (
18
5
 + x )
                                               =
4197582
15625
 +
466398
3125
 x +
117
10
 x x +
5643
625
 x x +
627
250
 x ×
18
5
                                               =
4197582
15625
 +
466398
3125
 x +
117
10
 x x +
5643
625
 x x +
5643
625
 x (
18
5
 + x )
                                               =
4197582
15625
 +
466398
3125
 x +
117
10
 x x +
5643
625
 x x +
5643
625
 x ×
18
5
                                               =
4197582
15625
 +
466398
3125
 x +
117
10
 x x +
5643
625
 x x +
101574
3125
 x +
5643
625

    the solutions is:
        x≈7.582889 , keep 6 decimal places    
    There are 1 solution(s).

解方程的详细方法请参阅：《方程的解法》


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