=(X^4-12x^2+35)*(x^3+14x-13)

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Solution for =(X^4-12x^2+35)*(x^3+14x-13) equation: 


Simplifying
0 = (X4 + -12x2 + 35)(x3 + 14x + -13)

Reorder the terms:
0 = (35 + X4 + -12x2)(x3 + 14x + -13)

Reorder the terms:
0 = (35 + X4 + -12x2)(-13 + 14x + x3)

Multiply (35 + X4 + -12x2) * (-13 + 14x + x3)
0 = (35(-13 + 14x + x3) + X4(-13 + 14x + x3) + -12x2 * (-13 + 14x + x3))
0 = ((-13 * 35 + 14x * 35 + x3 * 35) + X4(-13 + 14x + x3) + -12x2 * (-13 + 14x + x3))
0 = ((-455 + 490x + 35x3) + X4(-13 + 14x + x3) + -12x2 * (-13 + 14x + x3))
0 = (-455 + 490x + 35x3 + (-13 * X4 + 14x * X4 + x3 * X4) + -12x2 * (-13 + 14x + x3))
0 = (-455 + 490x + 35x3 + (-13X4 + 14xX4 + x3X4) + -12x2 * (-13 + 14x + x3))
0 = (-455 + 490x + 35x3 + -13X4 + 14xX4 + x3X4 + (-13 * -12x2 + 14x * -12x2 + x3 * -12x2))
0 = (-455 + 490x + 35x3 + -13X4 + 14xX4 + x3X4 + (156x2 + -168x3 + -12x5))

Reorder the terms:
0 = (-455 + -13X4 + 490x + 14xX4 + 156x2 + 35x3 + -168x3 + x3X4 + -12x5)

Combine like terms: 35x3 + -168x3 = -133x3
0 = (-455 + -13X4 + 490x + 14xX4 + 156x2 + -133x3 + x3X4 + -12x5)

Solving
0 = -455 + -13X4 + 490x + 14xX4 + 156x2 + -133x3 + x3X4 + -12x5

Solving for variable 'X'.

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

Add '13X4' to each side of the equation.
0 + 13X4 = -455 + -13X4 + 490x + 14xX4 + 156x2 + -133x3 + x3X4 + 13X4 + -12x5
Remove the zero:
13X4 = -455 + -13X4 + 490x + 14xX4 + 156x2 + -133x3 + x3X4 + 13X4 + -12x5

Reorder the terms:
13X4 = -455 + -13X4 + 13X4 + 490x + 14xX4 + 156x2 + -133x3 + x3X4 + -12x5

Combine like terms: -13X4 + 13X4 = 0
13X4 = -455 + 0 + 490x + 14xX4 + 156x2 + -133x3 + x3X4 + -12x5
13X4 = -455 + 490x + 14xX4 + 156x2 + -133x3 + x3X4 + -12x5

Add '-14xX4' to each side of the equation.
13X4 + -14xX4 = -455 + 490x + 14xX4 + 156x2 + -133x3 + x3X4 + -14xX4 + -12x5

Reorder the terms:
13X4 + -14xX4 = -455 + 490x + 14xX4 + -14xX4 + 156x2 + -133x3 + x3X4 + -12x5

Combine like terms: 14xX4 + -14xX4 = 0
13X4 + -14xX4 = -455 + 490x + 0 + 156x2 + -133x3 + x3X4 + -12x5
13X4 + -14xX4 = -455 + 490x + 156x2 + -133x3 + x3X4 + -12x5

Add '-1x3X4' to each side of the equation.
13X4 + -14xX4 + -1x3X4 = -455 + 490x + 156x2 + -133x3 + x3X4 + -1x3X4 + -12x5

Combine like terms: x3X4 + -1x3X4 = 0
13X4 + -14xX4 + -1x3X4 = -455 + 490x + 156x2 + -133x3 + 0 + -12x5
13X4 + -14xX4 + -1x3X4 = -455 + 490x + 156x2 + -133x3 + -12x5

Reorder the terms:
455 + 13X4 + -490x + -14xX4 + -156x2 + 133x3 + -1x3X4 + 12x5 = -455 + 490x + 156x2 + -133x3 + -12x5 + 455 + -490x + -156x2 + 133x3 + 12x5

Reorder the terms:
455 + 13X4 + -490x + -14xX4 + -156x2 + 133x3 + -1x3X4 + 12x5 = -455 + 455 + 490x + -490x + 156x2 + -156x2 + -133x3 + 133x3 + -12x5 + 12x5

Combine like terms: -455 + 455 = 0
455 + 13X4 + -490x + -14xX4 + -156x2 + 133x3 + -1x3X4 + 12x5 = 0 + 490x + -490x + 156x2 + -156x2 + -133x3 + 133x3 + -12x5 + 12x5
455 + 13X4 + -490x + -14xX4 + -156x2 + 133x3 + -1x3X4 + 12x5 = 490x + -490x + 156x2 + -156x2 + -133x3 + 133x3 + -12x5 + 12x5

Combine like terms: 490x + -490x = 0
455 + 13X4 + -490x + -14xX4 + -156x2 + 133x3 + -1x3X4 + 12x5 = 0 + 156x2 + -156x2 + -133x3 + 133x3 + -12x5 + 12x5
455 + 13X4 + -490x + -14xX4 + -156x2 + 133x3 + -1x3X4 + 12x5 = 156x2 + -156x2 + -133x3 + 133x3 + -12x5 + 12x5

Combine like terms: 156x2 + -156x2 = 0
455 + 13X4 + -490x + -14xX4 + -156x2 + 133x3 + -1x3X4 + 12x5 = 0 + -133x3 + 133x3 + -12x5 + 12x5
455 + 13X4 + -490x + -14xX4 + -156x2 + 133x3 + -1x3X4 + 12x5 = -133x3 + 133x3 + -12x5 + 12x5

Combine like terms: -133x3 + 133x3 = 0
455 + 13X4 + -490x + -14xX4 + -156x2 + 133x3 + -1x3X4 + 12x5 = 0 + -12x5 + 12x5
455 + 13X4 + -490x + -14xX4 + -156x2 + 133x3 + -1x3X4 + 12x5 = -12x5 + 12x5

Combine like terms: -12x5 + 12x5 = 0
455 + 13X4 + -490x + -14xX4 + -156x2 + 133x3 + -1x3X4 + 12x5 = 0

The solution to this equation could not be determined.

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