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

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


Simplifying
x4 + -7X2 + -12x + 5 = 0

Reorder the terms:
5 + -7X2 + -12x + x4 = 0

Solving
5 + -7X2 + -12x + x4 = 0

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + -7X2 + -12x + -5 + x4 = 0 + -5

Reorder the terms:
5 + -5 + -7X2 + -12x + x4 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7X2 + -12x + x4 = 0 + -5
-7X2 + -12x + x4 = 0 + -5

Combine like terms: 0 + -5 = -5
-7X2 + -12x + x4 = -5

Add '12x' to each side of the equation.
-7X2 + -12x + 12x + x4 = -5 + 12x

Combine like terms: -12x + 12x = 0
-7X2 + 0 + x4 = -5 + 12x
-7X2 + x4 = -5 + 12x

Add '-1x4' to each side of the equation.
-7X2 + x4 + -1x4 = -5 + 12x + -1x4

Combine like terms: x4 + -1x4 = 0
-7X2 + 0 = -5 + 12x + -1x4
-7X2 = -5 + 12x + -1x4

Divide each side by '-7'.
X2 = 0.7142857143 + -1.714285714x + 0.1428571429x4

Simplifying
X2 = 0.7142857143 + -1.714285714x + 0.1428571429x4

Reorder the terms:
-0.7142857143 + X2 + 1.714285714x + -0.1428571429x4 = 0.7142857143 + -1.714285714x + 0.1428571429x4 + -0.7142857143 + 1.714285714x + -0.1428571429x4

Reorder the terms:
-0.7142857143 + X2 + 1.714285714x + -0.1428571429x4 = 0.7142857143 + -0.7142857143 + -1.714285714x + 1.714285714x + 0.1428571429x4 + -0.1428571429x4

Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000
-0.7142857143 + X2 + 1.714285714x + -0.1428571429x4 = 0.0000000000 + -1.714285714x + 1.714285714x + 0.1428571429x4 + -0.1428571429x4
-0.7142857143 + X2 + 1.714285714x + -0.1428571429x4 = -1.714285714x + 1.714285714x + 0.1428571429x4 + -0.1428571429x4

Combine like terms: -1.714285714x + 1.714285714x = 0.000000000
-0.7142857143 + X2 + 1.714285714x + -0.1428571429x4 = 0.000000000 + 0.1428571429x4 + -0.1428571429x4
-0.7142857143 + X2 + 1.714285714x + -0.1428571429x4 = 0.1428571429x4 + -0.1428571429x4

Combine like terms: 0.1428571429x4 + -0.1428571429x4 = 0.0000000000
-0.7142857143 + X2 + 1.714285714x + -0.1428571429x4 = 0.0000000000

The solution to this equation could not be determined.

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