x^5=8x^2

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Solution for x^5=8x^2 equation:


Simplifying
x5 = 8x2

Solving
x5 = 8x2

Solving for variable 'x'.

Reorder the terms:
-8x2 + x5 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-8x2 + x5 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-8 + x3) = 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 + x3)' equal to zero and attempt to solve: Simplifying -8 + x3 = 0 Solving -8 + x3 = 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 + x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x3 = 0 + 8 x3 = 0 + 8 Combine like terms: 0 + 8 = 8 x3 = 8 Simplifying x3 = 8 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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