=2x^4-26x^2-24x

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Solution for =2x^4-26x^2-24x equation:


Simplifying
0 = 2x4 + -26x2 + -24x

Reorder the terms:
0 = -24x + -26x2 + 2x4

Solving
0 = -24x + -26x2 + 2x4

Solving for variable 'x'.
Remove the zero:
24x + 26x2 + -2x4 = -24x + -26x2 + 2x4 + 24x + 26x2 + -2x4

Reorder the terms:
24x + 26x2 + -2x4 = -24x + 24x + -26x2 + 26x2 + 2x4 + -2x4

Combine like terms: -24x + 24x = 0
24x + 26x2 + -2x4 = 0 + -26x2 + 26x2 + 2x4 + -2x4
24x + 26x2 + -2x4 = -26x2 + 26x2 + 2x4 + -2x4

Combine like terms: -26x2 + 26x2 = 0
24x + 26x2 + -2x4 = 0 + 2x4 + -2x4
24x + 26x2 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
24x + 26x2 + -2x4 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(12 + 13x + -1x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(12 + 13x + -1x3)' equal to zero and attempt to solve: Simplifying 12 + 13x + -1x3 = 0 Solving 12 + 13x + -1x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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