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    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 (x-6000×6%)×(1-25%)/3000+600 = (X-6000x6%-2400x8%)x(1-25%)/3000 .
    Question type: Equation
    Solution:Original question:
     ( x 6000 ×
6
100
)(1
25
100
) ÷ 3000 + 600 = ( x 6000 x ×
6
100
2400 x ×
8
100
) x (1
25
100
) ÷ 3000
    Remove the bracket on the left of the equation:
     Left side of the equation = x (1
25
100
) ×
1
3000
6000 ×
6
100
(1
25
100
) ×
1
3000
+ 600
                                             = x (1
25
100
) ×
1
3000
3
25
(1
25
100
) + 600
                                             = x × 1 ×
1
3000
x ×
25
100
×
1
3000
3
25
(1
25
100
) + 600
                                             = x ×
1
3000
x ×
1
12000
3
25
(1
25
100
) + 600
                                             =
1
4000
x
3
25
(1
25
100
) + 600
                                             =
1
4000
x
3
25
× 1 +
3
25
×
25
100
+ 600
                                             =
1
4000
x
3
25
+
3
100
+ 600
                                             =
1
4000
x +
59991
100
    The equation is transformed into :
     
1
4000
x +
59991
100
= ( x 6000 x ×
6
100
2400 x ×
8
100
) x (1
25
100
) ÷ 3000
    Remove the bracket on the right of the equation:
     Right side of the equation = x x (1
25
100
) ×
1
3000
6000 x ×
6
100
x (1
25
100
) ×
1
3000
2400 x
                                               = x x (1
25
100
) ×
1
3000
3
25
x x (1
25
100
)
8
125
x x (1
25
100
)
                                               = x x × 1 ×
1
3000
x x ×
25
100
×
1
3000
3
25
x x (1
25
100
)
                                               = x x ×
1
3000
x x ×
1
12000
3
25
x x (1
25
100
)
8
125
x
                                               = x x ×
1
3000
x x ×
1
12000
3
25
x x × 1 +
3
25
x
                                               = x x ×
1
3000
x x ×
1
12000
3
25
x x +
3
100
x x
                                               = x x ×
1
3000
x x ×
1
12000
3
25
x x +
3
100
x x
                                               = x x ×
1
3000
x x ×
1
12000
3
25
x x +
3
100
x x
    The equation is transformed into :
     
1
4000
x +
59991
100
= x x ×
1
3000
x x ×
1
12000
3
25
x x +
3
100
x x

    the solutions is:
        x=-2399640
    
    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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