(24-2x)(18-2x)=720

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Solution for (24-2x)(18-2x)=720 equation:


Simplifying
(24 + -2x)(18 + -2x) = 720

Multiply (24 + -2x) * (18 + -2x)
(24(18 + -2x) + -2x * (18 + -2x)) = 720
((18 * 24 + -2x * 24) + -2x * (18 + -2x)) = 720
((432 + -48x) + -2x * (18 + -2x)) = 720
(432 + -48x + (18 * -2x + -2x * -2x)) = 720
(432 + -48x + (-36x + 4x2)) = 720

Combine like terms: -48x + -36x = -84x
(432 + -84x + 4x2) = 720

Solving
432 + -84x + 4x2 = 720

Solving for variable 'x'.

Reorder the terms:
432 + -720 + -84x + 4x2 = 720 + -720

Combine like terms: 432 + -720 = -288
-288 + -84x + 4x2 = 720 + -720

Combine like terms: 720 + -720 = 0
-288 + -84x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-72 + -21x + x2) = 0

Factor a trinomial.
4((-3 + -1x)(24 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {-3, 24}

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