(36-2x)(30-2x)=720

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Solution for (36-2x)(30-2x)=720 equation: 


Simplifying
(36 + -2x)(30 + -2x) = 720

Multiply (36 + -2x) * (30 + -2x)
(36(30 + -2x) + -2x * (30 + -2x)) = 720
((30 * 36 + -2x * 36) + -2x * (30 + -2x)) = 720
((1080 + -72x) + -2x * (30 + -2x)) = 720
(1080 + -72x + (30 * -2x + -2x * -2x)) = 720
(1080 + -72x + (-60x + 4x2)) = 720

Combine like terms: -72x + -60x = -132x
(1080 + -132x + 4x2) = 720

Solving
1080 + -132x + 4x2 = 720

Solving for variable 'x'.

Reorder the terms:
1080 + -720 + -132x + 4x2 = 720 + -720

Combine like terms: 1080 + -720 = 360
360 + -132x + 4x2 = 720 + -720

Combine like terms: 720 + -720 = 0
360 + -132x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(90 + -33x + x2) = 0

Factor a trinomial.
4((3 + -1x)(30 + -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 '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {3, 30}

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