(36-2x)(24-2x)=0

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Solution for (36-2x)(24-2x)=0 equation:


Simplifying
(36 + -2x)(24 + -2x) = 0

Multiply (36 + -2x) * (24 + -2x)
(36(24 + -2x) + -2x * (24 + -2x)) = 0
((24 * 36 + -2x * 36) + -2x * (24 + -2x)) = 0
((864 + -72x) + -2x * (24 + -2x)) = 0
(864 + -72x + (24 * -2x + -2x * -2x)) = 0
(864 + -72x + (-48x + 4x2)) = 0

Combine like terms: -72x + -48x = -120x
(864 + -120x + 4x2) = 0

Solving
864 + -120x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(216 + -30x + x2) = 0

Factor a trinomial.
4((12 + -1x)(18 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Subproblem 2

Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18

Solution

x = {12, 18}

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