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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) = -(660*509*(1.25x-195))/(1.25x)-420000000-(660*764*(1.25x-87))/(1.25x)+459*764 .
    Question type: Equation
    Solution:Original question:
     
9
10
×
657
25
× 390 × 60 +
377
20
× 390( x 60) = - (660 × 509(
5
4
x 195)) ÷ (
5
4
x )420000000(660 × 764(
5
4
x 87)) ÷ (
5
4
x ) + 459 × 764
     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 ) = - (660 × 509(
5
4
x 195))420000000(
5
4
x )(660 × 764(
5
4
x 87)) + 459 × 764(
5
4
x )
    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 ) = - (660 × 509(
5
4
x 195))420000000(
5
4
x )(660 × 764(
5
4
x 87)) + 459 × 764(
5
4
x )
    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 ) = - 660 × 509(
5
4
x 195)420000000(
5
4
x )(660 × 764(
5
4
x 87)) + 459 × 764(
5
4
x )
    The equation is reduced to :
     691821 x +
14703
2
( x 60)(
5
4
x ) = - 335940(
5
4
x 195)420000000(
5
4
x )(660 × 764(
5
4
x 87)) + 350676(
5
4
x )
    Remove a bracket on the left of the equation:
     691821 x +
14703
2
x (
5
4
x )
14703
2
× 60(
5
4
x ) = - 335940(
5
4
x 195)420000000(
5
4
x )(660 × 764(
5
4
x 87)) + 350676(
5
4
x )
    Remove a bracket on the right of the equation::
     691821 x +
14703
2
x (
5
4
x )
14703
2
× 60(
5
4
x ) = - 335940 ×
5
4
x + 335940 × 195420000000(
5
4
x )(660 × 764(
5
4
x 87)) + 350676(
5
4
x )
    The equation is reduced to :
     691821 x +
14703
2
x (
5
4
x )441090(
5
4
x ) = - 419925 x + 65508300420000000(
5
4
x )(660 × 764(
5
4
x 87)) + 350676(
5
4
x )
    Remove a bracket on the left of the equation:
     691821 x +
14703
2
x ×
5
4
x 441090(
5
4
x ) = - 419925 x + 65508300420000000(
5
4
x )(660 × 764(
5
4
x 87)) + 350676(
5
4
x )
    Remove a bracket on the right of the equation::
     691821 x +
14703
2
x ×
5
4
x 441090(
5
4
x ) = - 419925 x + 65508300420000000 ×
5
4
x (660 × 764(
5
4
x 87)) + 350676(
5
4
x )
    The equation is reduced to :
     691821 x +
73515
8
x x 441090(
5
4
x ) = - 419925 x + 65508300525000000 x (660 × 764(
5
4
x 87)) + 350676(
5
4
x )
    The equation is reduced to :
     691821 x +
73515
8
x x 441090(
5
4
x ) = - 525419925 x + 65508300(660 × 764(
5
4
x 87)) + 350676(
5
4
x )
    Remove a bracket on the left of the equation:
     691821 x +
73515
8
x x 441090 ×
5
4
x = - 525419925 x + 65508300(660 × 764(
5
4
x 87)) + 350676(
5
4
x )
    Remove a bracket on the right of the equation::
     691821 x +
73515
8
x x 441090 ×
5
4
x = - 525419925 x + 65508300660 × 764(
5
4
x 87) + 350676(
5
4
x )
    The equation is reduced to :
     691821 x +
73515
8
x x
1102725
2
x = - 525419925 x + 65508300504240(
5
4
x 87) + 350676(
5
4
x )
    The equation is reduced to :
     
280917
2
x +
73515
8
x x = - 525419925 x + 65508300504240(
5
4
x 87) + 350676(
5
4
x )
    Remove a bracket on the right of the equation::
     
280917
2
x +
73515
8
x x = - 525419925 x + 65508300504240 ×
5
4
x + 504240 × 87 + 350676(
5
4
x )
    The equation is reduced to :
     
280917
2
x +
73515
8
x x = - 525419925 x + 65508300630300 x + 43868880 + 350676(
5
4
x )
    The equation is reduced to :
     
280917
2
x +
73515
8
x x = - 526050225 x + 109377180 + 350676(
5
4
x )
    Remove a bracket on the right of the equation::
     
280917
2
x +
73515
8
x x = - 526050225 x + 109377180 + 350676 ×
5
4
x
    The equation is reduced to :
     
280917
2
x +
73515
8
x x = - 526050225 x + 109377180 + 438345 x
    The equation is reduced to :
     
280917
2
x +
73515
8
x x = - 525611880 x + 109377180

    
        x≈0.208039 , keep 6 decimal places
    
    There are 1 solution(s).


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