24=(12-2x)*(10-2x)

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Solution for 24=(12-2x)*(10-2x) equation: 


Simplifying
24 = (12 + -2x)(10 + -2x)

Multiply (12 + -2x) * (10 + -2x)
24 = (12(10 + -2x) + -2x * (10 + -2x))
24 = ((10 * 12 + -2x * 12) + -2x * (10 + -2x))
24 = ((120 + -24x) + -2x * (10 + -2x))
24 = (120 + -24x + (10 * -2x + -2x * -2x))
24 = (120 + -24x + (-20x + 4x2))

Combine like terms: -24x + -20x = -44x
24 = (120 + -44x + 4x2)

Solving
24 = 120 + -44x + 4x2

Solving for variable 'x'.

Combine like terms: 24 + -120 = -96
-96 + 44x + -4x2 = 120 + -44x + 4x2 + -120 + 44x + -4x2

Reorder the terms:
-96 + 44x + -4x2 = 120 + -120 + -44x + 44x + 4x2 + -4x2

Combine like terms: 120 + -120 = 0
-96 + 44x + -4x2 = 0 + -44x + 44x + 4x2 + -4x2
-96 + 44x + -4x2 = -44x + 44x + 4x2 + -4x2

Combine like terms: -44x + 44x = 0
-96 + 44x + -4x2 = 0 + 4x2 + -4x2
-96 + 44x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-96 + 44x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-24 + 11x + -1x2) = 0

Factor a trinomial.
4((-8 + x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 0

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

Add '8' to each side of the equation.
-8 + 8 + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x = 0 + 8
x = 0 + 8

Combine like terms: 0 + 8 = 8
x = 8

Simplifying
x = 8

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 = {8, 3}

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