x^5-x^4-7X^3+7x^2+12x-12=0

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Solution for x^5-x^4-7X^3+7x^2+12x-12=0 equation: 


Simplifying
x5 + -1x4 + -7X3 + 7x2 + 12x + -12 = 0

Reorder the terms:
-12 + -7X3 + 12x + 7x2 + -1x4 + x5 = 0

Solving
-12 + -7X3 + 12x + 7x2 + -1x4 + x5 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + -7X3 + 12x + 7x2 + -1x4 + 12 + x5 = 0 + 12

Reorder the terms:
-12 + 12 + -7X3 + 12x + 7x2 + -1x4 + x5 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -7X3 + 12x + 7x2 + -1x4 + x5 = 0 + 12
-7X3 + 12x + 7x2 + -1x4 + x5 = 0 + 12

Combine like terms: 0 + 12 = 12
-7X3 + 12x + 7x2 + -1x4 + x5 = 12

Add '-12x' to each side of the equation.
-7X3 + 12x + 7x2 + -1x4 + -12x + x5 = 12 + -12x

Reorder the terms:
-7X3 + 12x + -12x + 7x2 + -1x4 + x5 = 12 + -12x

Combine like terms: 12x + -12x = 0
-7X3 + 0 + 7x2 + -1x4 + x5 = 12 + -12x
-7X3 + 7x2 + -1x4 + x5 = 12 + -12x

Add '-7x2' to each side of the equation.
-7X3 + 7x2 + -1x4 + -7x2 + x5 = 12 + -12x + -7x2

Reorder the terms:
-7X3 + 7x2 + -7x2 + -1x4 + x5 = 12 + -12x + -7x2

Combine like terms: 7x2 + -7x2 = 0
-7X3 + 0 + -1x4 + x5 = 12 + -12x + -7x2
-7X3 + -1x4 + x5 = 12 + -12x + -7x2

Add 'x4' to each side of the equation.
-7X3 + -1x4 + x4 + x5 = 12 + -12x + -7x2 + x4

Combine like terms: -1x4 + x4 = 0
-7X3 + 0 + x5 = 12 + -12x + -7x2 + x4
-7X3 + x5 = 12 + -12x + -7x2 + x4

Add '-1x5' to each side of the equation.
-7X3 + x5 + -1x5 = 12 + -12x + -7x2 + x4 + -1x5

Combine like terms: x5 + -1x5 = 0
-7X3 + 0 = 12 + -12x + -7x2 + x4 + -1x5
-7X3 = 12 + -12x + -7x2 + x4 + -1x5

Divide each side by '-7'.
X3 = -1.714285714 + 1.714285714x + x2 + -0.1428571429x4 + 0.1428571429x5

Simplifying
X3 = -1.714285714 + 1.714285714x + x2 + -0.1428571429x4 + 0.1428571429x5

Reorder the terms:
1.714285714 + X3 + -1.714285714x + -1x2 + 0.1428571429x4 + -0.1428571429x5 = -1.714285714 + 1.714285714x + x2 + -0.1428571429x4 + 0.1428571429x5 + 1.714285714 + -1.714285714x + -1x2 + 0.1428571429x4 + -0.1428571429x5

Reorder the terms:
1.714285714 + X3 + -1.714285714x + -1x2 + 0.1428571429x4 + -0.1428571429x5 = -1.714285714 + 1.714285714 + 1.714285714x + -1.714285714x + x2 + -1x2 + -0.1428571429x4 + 0.1428571429x4 + 0.1428571429x5 + -0.1428571429x5

Combine like terms: -1.714285714 + 1.714285714 = 0.000000000
1.714285714 + X3 + -1.714285714x + -1x2 + 0.1428571429x4 + -0.1428571429x5 = 0.000000000 + 1.714285714x + -1.714285714x + x2 + -1x2 + -0.1428571429x4 + 0.1428571429x4 + 0.1428571429x5 + -0.1428571429x5
1.714285714 + X3 + -1.714285714x + -1x2 + 0.1428571429x4 + -0.1428571429x5 = 1.714285714x + -1.714285714x + x2 + -1x2 + -0.1428571429x4 + 0.1428571429x4 + 0.1428571429x5 + -0.1428571429x5

Combine like terms: 1.714285714x + -1.714285714x = 0.000000000
1.714285714 + X3 + -1.714285714x + -1x2 + 0.1428571429x4 + -0.1428571429x5 = 0.000000000 + x2 + -1x2 + -0.1428571429x4 + 0.1428571429x4 + 0.1428571429x5 + -0.1428571429x5
1.714285714 + X3 + -1.714285714x + -1x2 + 0.1428571429x4 + -0.1428571429x5 = x2 + -1x2 + -0.1428571429x4 + 0.1428571429x4 + 0.1428571429x5 + -0.1428571429x5

Combine like terms: x2 + -1x2 = 0
1.714285714 + X3 + -1.714285714x + -1x2 + 0.1428571429x4 + -0.1428571429x5 = 0 + -0.1428571429x4 + 0.1428571429x4 + 0.1428571429x5 + -0.1428571429x5
1.714285714 + X3 + -1.714285714x + -1x2 + 0.1428571429x4 + -0.1428571429x5 = -0.1428571429x4 + 0.1428571429x4 + 0.1428571429x5 + -0.1428571429x5

Combine like terms: -0.1428571429x4 + 0.1428571429x4 = 0.0000000000
1.714285714 + X3 + -1.714285714x + -1x2 + 0.1428571429x4 + -0.1428571429x5 = 0.0000000000 + 0.1428571429x5 + -0.1428571429x5
1.714285714 + X3 + -1.714285714x + -1x2 + 0.1428571429x4 + -0.1428571429x5 = 0.1428571429x5 + -0.1428571429x5

Combine like terms: 0.1428571429x5 + -0.1428571429x5 = 0.0000000000
1.714285714 + X3 + -1.714285714x + -1x2 + 0.1428571429x4 + -0.1428571429x5 = 0.0000000000

The solution to this equation could not be determined.

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