(36x+36)(2x-4)=0

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Solution for (36x+36)(2x-4)=0 equation:


Simplifying
(36x + 36)(2x + -4) = 0

Reorder the terms:
(36 + 36x)(2x + -4) = 0

Reorder the terms:
(36 + 36x)(-4 + 2x) = 0

Multiply (36 + 36x) * (-4 + 2x)
(36(-4 + 2x) + 36x * (-4 + 2x)) = 0
((-4 * 36 + 2x * 36) + 36x * (-4 + 2x)) = 0
((-144 + 72x) + 36x * (-4 + 2x)) = 0
(-144 + 72x + (-4 * 36x + 2x * 36x)) = 0
(-144 + 72x + (-144x + 72x2)) = 0

Combine like terms: 72x + -144x = -72x
(-144 + -72x + 72x2) = 0

Solving
-144 + -72x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '72'.
72(-2 + -1x + x2) = 0

Factor a trinomial.
72((-1 + -1x)(2 + -1x)) = 0

Ignore the factor 72.

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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