(12-2x)(20-4x)=126

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Solution for (12-2x)(20-4x)=126 equation: 


Simplifying
(12 + -2x)(20 + -4x) = 126

Multiply (12 + -2x) * (20 + -4x)
(12(20 + -4x) + -2x * (20 + -4x)) = 126
((20 * 12 + -4x * 12) + -2x * (20 + -4x)) = 126
((240 + -48x) + -2x * (20 + -4x)) = 126
(240 + -48x + (20 * -2x + -4x * -2x)) = 126
(240 + -48x + (-40x + 8x2)) = 126

Combine like terms: -48x + -40x = -88x
(240 + -88x + 8x2) = 126

Solving
240 + -88x + 8x2 = 126

Solving for variable 'x'.

Reorder the terms:
240 + -126 + -88x + 8x2 = 126 + -126

Combine like terms: 240 + -126 = 114
114 + -88x + 8x2 = 126 + -126

Combine like terms: 126 + -126 = 0
114 + -88x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(57 + -44x + 4x2) = 0

Factor a trinomial.
2((3 + -2x)(19 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(19 + -2x)' equal to zero and attempt to solve:

Simplifying
19 + -2x = 0

Solving
19 + -2x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -2x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = 0 + -19
-2x = 0 + -19

Combine like terms: 0 + -19 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5
Solution
x = {1.5, 9.5}

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