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

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


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

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

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

Multiply (-8 + 6x) * (6 + x)
(-8(6 + x) + 6x * (6 + x)) = 0
((6 * -8 + x * -8) + 6x * (6 + x)) = 0
((-48 + -8x) + 6x * (6 + x)) = 0
(-48 + -8x + (6 * 6x + x * 6x)) = 0
(-48 + -8x + (36x + 6x2)) = 0

Combine like terms: -8x + 36x = 28x
(-48 + 28x + 6x2) = 0

Solving
-48 + 28x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 14x + 3x2) = 0

Factor a trinomial.
2((-6 + -1x)(4 + -3x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Solution

x = {-6, 1.333333333}

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