(6-2x)(12-2x)=135

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Solution for (6-2x)(12-2x)=135 equation: 


Simplifying
(6 + -2x)(12 + -2x) = 135

Multiply (6 + -2x) * (12 + -2x)
(6(12 + -2x) + -2x * (12 + -2x)) = 135
((12 * 6 + -2x * 6) + -2x * (12 + -2x)) = 135
((72 + -12x) + -2x * (12 + -2x)) = 135
(72 + -12x + (12 * -2x + -2x * -2x)) = 135
(72 + -12x + (-24x + 4x2)) = 135

Combine like terms: -12x + -24x = -36x
(72 + -36x + 4x2) = 135

Solving
72 + -36x + 4x2 = 135

Solving for variable 'x'.

Reorder the terms:
72 + -135 + -36x + 4x2 = 135 + -135

Combine like terms: 72 + -135 = -63
-63 + -36x + 4x2 = 135 + -135

Combine like terms: 135 + -135 = 0
-63 + -36x + 4x2 = 0

Factor a trinomial.
(-3 + -2x)(21 + -2x) = 0


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 '(21 + -2x)' equal to zero and attempt to solve:

Simplifying
21 + -2x = 0

Solving
21 + -2x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -2x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 0 + -21
-2x = 0 + -21

Combine like terms: 0 + -21 = -21
-2x = -21

Divide each side by '-2'.
x = 10.5

Simplifying
x = 10.5
Solution
x = {-1.5, 10.5}

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