X^4-13x^2-12x=

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Solution for X^4-13x^2-12x= equation:


Simplifying
X4 + -13x2 + -12x = 0

Reorder the terms:
X4 + -12x + -13x2 = 0

Solving
X4 + -12x + -13x2 = 0

Solving for variable 'X'.

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

Add '12x' to each side of the equation.
X4 + -12x + 12x + -13x2 = 0 + 12x

Combine like terms: -12x + 12x = 0
X4 + 0 + -13x2 = 0 + 12x
X4 + -13x2 = 0 + 12x
Remove the zero:
X4 + -13x2 = 12x

Add '13x2' to each side of the equation.
X4 + -13x2 + 13x2 = 12x + 13x2

Combine like terms: -13x2 + 13x2 = 0
X4 + 0 = 12x + 13x2
X4 = 12x + 13x2

Simplifying
X4 = 12x + 13x2

Reorder the terms:
X4 + -12x + -13x2 = 12x + -12x + 13x2 + -13x2

Combine like terms: 12x + -12x = 0
X4 + -12x + -13x2 = 0 + 13x2 + -13x2
X4 + -12x + -13x2 = 13x2 + -13x2

Combine like terms: 13x2 + -13x2 = 0
X4 + -12x + -13x2 = 0

Factor a trinomial.
(X2 + -13x)(X2 + x) = 0

Subproblem 1

Set the factor '(X2 + -13x)' equal to zero and attempt to solve: Simplifying X2 + -13x = 0 Solving X2 + -13x = 0 Move all terms containing X to the left, all other terms to the right. Add '13x' to each side of the equation. X2 + -13x + 13x = 0 + 13x Combine like terms: -13x + 13x = 0 X2 + 0 = 0 + 13x X2 = 0 + 13x Remove the zero: X2 = 13x Simplifying X2 = 13x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(X2 + x)' equal to zero and attempt to solve: Simplifying X2 + x = 0 Solving X2 + x = 0 Move all terms containing X to the left, all other terms to the right. Add '-1x' to each side of the equation. X2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 X2 + 0 = 0 + -1x X2 = 0 + -1x Remove the zero: X2 = -1x Simplifying X2 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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