(x-4x)(x+8)=0

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Solution for (x-4x)(x+8)=0 equation: 


Simplifying
(x + -4x)(x + 8) = 0

Combine like terms: x + -4x = -3x
(-3x)(x + 8) = 0

Remove parenthesis around (-3x)
-3x(x + 8) = 0

Reorder the terms:
-3x(8 + x) = 0
(8 * -3x + x * -3x) = 0
(-24x + -3x2) = 0

Solving
-24x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3x'.
-3x(8 + x) = 0

Ignore the factor -3.

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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