8x(x)=-64x

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Solution for 8x(x)=-64x equation: 


Simplifying
8x(x) = -64x

Multiply x * x
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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