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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 0.9*26.28*390*60+18.85*390*(x-60) = -(509*640*(1.25x-195))/(1.25x)+459*764-(509*640*(1.25x-87))/(1.25x) .
    Question type: Equation
    Solution:Original question:
     
9
10
×
657
25
× 390 × 60 +
377
20
× 390( x 60) = - (509 × 640(
5
4
x 195)) ÷ (
5
4
x ) + 459 × 764(509 × 640(
5
4
x 87)) ÷ (
5
4
x )
     Multiply both sides of the equation by:(
5
4
x )
     
9
10
×
657
25
× 390 × 60(
5
4
x ) +
377
20
× 390( x 60)(
5
4
x ) = - (509 × 640(
5
4
x 195)) + 459 × 764(
5
4
x )(509 × 640(
5
4
x 87))
    Remove a bracket on the left of the equation::
     
9
10
×
657
25
× 390 × 60 ×
5
4
x +
377
20
× 390( x 60)(
5
4
x ) = - (509 × 640(
5
4
x 195)) + 459 × 764(
5
4
x )(509 × 640(
5
4
x 87))
    Remove a bracket on the right of the equation::
     
9
10
×
657
25
× 390 × 60 ×
5
4
x +
377
20
× 390( x 60)(
5
4
x ) = - 509 × 640(
5
4
x 195) + 459 × 764(
5
4
x )(509 × 640(
5
4
x 87))
    The equation is reduced to :
     691821 x +
14703
2
( x 60)(
5
4
x ) = - 325760(
5
4
x 195) + 350676(
5
4
x )(509 × 640(
5
4
x 87))
    Remove a bracket on the left of the equation:
     691821 x +
14703
2
x (
5
4
x )
14703
2
× 60(
5
4
x ) = - 325760(
5
4
x 195) + 350676(
5
4
x )(509 × 640(
5
4
x 87))
    Remove a bracket on the right of the equation::
     691821 x +
14703
2
x (
5
4
x )
14703
2
× 60(
5
4
x ) = - 325760 ×
5
4
x + 325760 × 195 + 350676(
5
4
x )(509 × 640(
5
4
x 87))
    The equation is reduced to :
     691821 x +
14703
2
x (
5
4
x )441090(
5
4
x ) = - 407200 x + 63523200 + 350676(
5
4
x )(509 × 640(
5
4
x 87))
    Remove a bracket on the left of the equation:
     691821 x +
14703
2
x ×
5
4
x 441090(
5
4
x ) = - 407200 x + 63523200 + 350676(
5
4
x )(509 × 640(
5
4
x 87))
    Remove a bracket on the right of the equation::
     691821 x +
14703
2
x ×
5
4
x 441090(
5
4
x ) = - 407200 x + 63523200 + 350676 ×
5
4
x (509 × 640(
5
4
x 87))
    The equation is reduced to :
     691821 x +
73515
8
x x 441090(
5
4
x ) = - 407200 x + 63523200 + 438345 x (509 × 640(
5
4
x 87))
    The equation is reduced to :
     691821 x +
73515
8
x x 441090(
5
4
x ) = 31145 x + 63523200(509 × 640(
5
4
x 87))
    Remove a bracket on the left of the equation:
     691821 x +
73515
8
x x 441090 ×
5
4
x = 31145 x + 63523200(509 × 640(
5
4
x 87))
    Remove a bracket on the right of the equation::
     691821 x +
73515
8
x x 441090 ×
5
4
x = 31145 x + 63523200509 × 640(
5
4
x 87)
    The equation is reduced to :
     691821 x +
73515
8
x x
1102725
2
x = 31145 x + 63523200325760(
5
4
x 87)
    The equation is reduced to :
     
280917
2
x +
73515
8
x x = 31145 x + 63523200325760(
5
4
x 87)
    Remove a bracket on the right of the equation::
     
280917
2
x +
73515
8
x x = 31145 x + 63523200325760 ×
5
4
x + 325760 × 87
    The equation is reduced to :
     
280917
2
x +
73515
8
x x = 31145 x + 63523200407200 x + 28341120
    The equation is reduced to :
     
280917
2
x +
73515
8
x x = - 376055 x + 91864320

    The solution of the equation:
        x1≈-131.962513 , keep 6 decimal places
        x2≈75.754827 , 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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