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

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


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

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

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

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

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

Solving
-8 + -4x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -1x + x2) = 0

Factor a trinomial.
4((-1 + -1x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

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 2

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 = {-1, 2}

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