-6x(-4x-2)=36

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Solution for -6x(-4x-2)=36 equation:


Simplifying
-6x(-4x + -2) = 36

Reorder the terms:
-6x(-2 + -4x) = 36
(-2 * -6x + -4x * -6x) = 36
(12x + 24x2) = 36

Solving
12x + 24x2 = 36

Solving for variable 'x'.

Reorder the terms:
-36 + 12x + 24x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 12x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-3 + x + 2x2) = 0

Factor a trinomial.
12((-3 + -2x)(1 + -1x)) = 0

Ignore the factor 12.

Subproblem 1

Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5

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

Solution

x = {-1.5, 1}

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