0=x^4-25x^2-36x

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Solution for 0=x^4-25x^2-36x equation:


Simplifying
0 = x4 + -25x2 + -36x

Reorder the terms:
0 = -36x + -25x2 + x4

Solving
0 = -36x + -25x2 + x4

Solving for variable 'x'.
Remove the zero:
36x + 25x2 + -1x4 = -36x + -25x2 + x4 + 36x + 25x2 + -1x4

Reorder the terms:
36x + 25x2 + -1x4 = -36x + 36x + -25x2 + 25x2 + x4 + -1x4

Combine like terms: -36x + 36x = 0
36x + 25x2 + -1x4 = 0 + -25x2 + 25x2 + x4 + -1x4
36x + 25x2 + -1x4 = -25x2 + 25x2 + x4 + -1x4

Combine like terms: -25x2 + 25x2 = 0
36x + 25x2 + -1x4 = 0 + x4 + -1x4
36x + 25x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
36x + 25x2 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(36 + 25x + -1x3) = 0

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 '(36 + 25x + -1x3)' equal to zero and attempt to solve: Simplifying 36 + 25x + -1x3 = 0 Solving 36 + 25x + -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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