2x(4x-8)(x+1)=0

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Solution for 2x(4x-8)(x+1)=0 equation: 


Simplifying
2x(4x + -8)(x + 1) = 0

Reorder the terms:
2x(-8 + 4x)(x + 1) = 0

Reorder the terms:
2x(-8 + 4x)(1 + x) = 0

Multiply (-8 + 4x) * (1 + x)
2x(-8(1 + x) + 4x * (1 + x)) = 0
2x((1 * -8 + x * -8) + 4x * (1 + x)) = 0
2x((-8 + -8x) + 4x * (1 + x)) = 0
2x(-8 + -8x + (1 * 4x + x * 4x)) = 0
2x(-8 + -8x + (4x + 4x2)) = 0

Combine like terms: -8x + 4x = -4x
2x(-8 + -4x + 4x2) = 0
(-8 * 2x + -4x * 2x + 4x2 * 2x) = 0
(-16x + -8x2 + 8x3) = 0

Solving
-16x + -8x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(-2 + -1x + x2) = 0

Factor a trinomial.
8x((-1 + -1x)(2 + -1x)) = 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 '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, -1, 2}

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