(30-2x)(24-2x)=0

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Solution for (30-2x)(24-2x)=0 equation:


Simplifying
(30 + -2x)(24 + -2x) = 0

Multiply (30 + -2x) * (24 + -2x)
(30(24 + -2x) + -2x * (24 + -2x)) = 0
((24 * 30 + -2x * 30) + -2x * (24 + -2x)) = 0
((720 + -60x) + -2x * (24 + -2x)) = 0
(720 + -60x + (24 * -2x + -2x * -2x)) = 0
(720 + -60x + (-48x + 4x2)) = 0

Combine like terms: -60x + -48x = -108x
(720 + -108x + 4x2) = 0

Solving
720 + -108x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(180 + -27x + x2) = 0

Factor a trinomial.
4((12 + -1x)(15 + -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 '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {12, 15}

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