X^4-32X^2-32X^2=0

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Solution for X^4-32X^2-32X^2=0 equation:


Simplifying
X4 + -32X2 + -32X2 = 0

Reorder the terms:
-32X2 + -32X2 + X4 = 0

Combine like terms: -32X2 + -32X2 = -64X2
-64X2 + X4 = 0

Solving
-64X2 + X4 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(-64 + X2) = 0

Factor a difference between two squares.
X2((8 + X)(-8 + X)) = 0

Subproblem 1

Set the factor 'X2' equal to zero and attempt to solve: Simplifying X2 = 0 Solving X2 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X2 = 0 Take the square root of each side: X = {0}

Subproblem 2

Set the factor '(8 + X)' equal to zero and attempt to solve: Simplifying 8 + X = 0 Solving 8 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + X = 0 + -8 X = 0 + -8 Combine like terms: 0 + -8 = -8 X = -8 Simplifying X = -8

Subproblem 3

Set the factor '(-8 + X)' equal to zero and attempt to solve: Simplifying -8 + X = 0 Solving -8 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + X = 0 + 8 Combine like terms: -8 + 8 = 0 0 + X = 0 + 8 X = 0 + 8 Combine like terms: 0 + 8 = 8 X = 8 Simplifying X = 8

Solution

X = {0, -8, 8}

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