(2x-6)(x+8)=

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Solution for (2x-6)(x+8)= equation:


Simplifying
(2x + -6)(x + 8) = 0

Reorder the terms:
(-6 + 2x)(x + 8) = 0

Reorder the terms:
(-6 + 2x)(8 + x) = 0

Multiply (-6 + 2x) * (8 + x)
(-6(8 + x) + 2x * (8 + x)) = 0
((8 * -6 + x * -6) + 2x * (8 + x)) = 0
((-48 + -6x) + 2x * (8 + x)) = 0
(-48 + -6x + (8 * 2x + x * 2x)) = 0
(-48 + -6x + (16x + 2x2)) = 0

Combine like terms: -6x + 16x = 10x
(-48 + 10x + 2x2) = 0

Solving
-48 + 10x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 5x + x2) = 0

Factor a trinomial.
2((-8 + -1x)(3 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 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 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-8, 3}

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