5x^5=-320x^2

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Solution for 5x^5=-320x^2 equation:


Simplifying
5x5 = -320x2

Solving
5x5 = -320x2

Solving for variable 'x'.

Reorder the terms:
320x2 + 5x5 = -320x2 + 320x2

Combine like terms: -320x2 + 320x2 = 0
320x2 + 5x5 = 0

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(64 + x3) = 0

Ignore the factor 5.

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 '(64 + x3)' equal to zero and attempt to solve: Simplifying 64 + x3 = 0 Solving 64 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + x3 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + x3 = 0 + -64 x3 = 0 + -64 Combine like terms: 0 + -64 = -64 x3 = -64 Simplifying x3 = -64 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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