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current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 3097.96+6511.57+36043.2x+319.4x+216000 = 176535.6+381165.5+8352x+696500+390323+65782+(3097.96+6511.57+36043.2x+319.4x)*(0.25+0.05) .
    Question type: Equation
    Solution:Original question:
     
77449
25
+
651157
100
+
180216
5
x +
1597
5
x + 216000 =
882678
5
+
762331
2
+ 8352 x + 696500 + 390323 + 65782 + (
77449
25
+
651157
100
+
180216
5
x +
1597
5
x )(
1
4
+
1
20
)
     Left side of the equation =
22560953
100
+
181813
5
x
    The equation is transformed into :
     
22560953
100
+
181813
5
x =
882678
5
+
762331
2
+ 8352 x + 696500 + 390323 + 65782 + (
77449
25
+
651157
100
+
180216
5
x +
1597
5
x )(
1
4
+
1
20
)
     Right side of the equation =
17103061
10
+ 8352 x + (
77449
25
+
651157
100
+
180216
5
x +
1597
5
x )(
1
4
+
1
20
)
    The equation is transformed into :
     
22560953
100
+
181813
5
x =
17103061
10
+ 8352 x + (
77449
25
+
651157
100
+
180216
5
x +
1597
5
x )(
1
4
+
1
20
)
    Remove the bracket on the right of the equation:
     Right side of the equation =
17103061
10
+ 8352 x +
77449
25
(
1
4
+
1
20
) +
651157
100
(
1
4
+
1
20
) +
180216
5
x (
1
4
+
1
20
) +
1597
5
x
                                               =
17103061
10
+ 8352 x +
77449
25
×
1
4
+
77449
25
×
1
20
+
651157
100
(
1
4
+
1
20
) +
180216
5
x (
1
4
+
1
20
)
                                               =
17103061
10
+ 8352 x +
77449
100
+
77449
500
+
651157
100
(
1
4
+
1
20
) +
180216
5
x (
1
4
+
1
20
) +
1597
5
x

    
        x≈-18.564920 , 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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