(x*x*x*x)+(96*x*x)=0

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Solution for (x*x*x*x)+(96*x*x)=0 equation:


Simplifying
(x * x * x * x) + (96x * x) = 0

Multiply x * x
(x2 * x * x) + (96x * x) = 0

Multiply x2 * x
(x3 * x) + (96x * x) = 0

Multiply x3 * x
(x4) + (96x * x) = 0
x4 + (96x * x) = 0

Multiply x * x
x4 + (96x2) = 0

Reorder the terms:
(96x2) + x4 = 0

Solving
(96x2) + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(96 + x2) = 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 '(96 + x2)' equal to zero and attempt to solve: Simplifying 96 + x2 = 0 Solving 96 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + x2 = 0 + -96 Combine like terms: 96 + -96 = 0 0 + x2 = 0 + -96 x2 = 0 + -96 Combine like terms: 0 + -96 = -96 x2 = -96 Simplifying x2 = -96 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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