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

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


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

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

Combine like terms: 36x + 48x = 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((-24 + -1x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-24, 3}

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