8x^2=-64x

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Solution for 8x^2=-64x equation:


Simplifying
8x2 = -64x

Solving
8x2 = -64x

Solving for variable 'x'.

Reorder the terms:
64x + 8x2 = -64x + 64x

Combine like terms: -64x + 64x = 0
64x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8x'.
8x(8 + x) = 0

Ignore the factor 8.

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 '(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}

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