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

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


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

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

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

Multiply (-2 + x) * (4 + 8x)
(-2(4 + 8x) + x(4 + 8x)) = 0
((4 * -2 + 8x * -2) + x(4 + 8x)) = 0
((-8 + -16x) + x(4 + 8x)) = 0
(-8 + -16x + (4 * x + 8x * x)) = 0
(-8 + -16x + (4x + 8x2)) = 0

Combine like terms: -16x + 4x = -12x
(-8 + -12x + 8x2) = 0

Solving
-8 + -12x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -3x + 2x2) = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

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 = {-0.5, 2}

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