(15-2x)(12-2x)=70

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Solution for (15-2x)(12-2x)=70 equation: 


Simplifying
(15 + -2x)(12 + -2x) = 70

Multiply (15 + -2x) * (12 + -2x)
(15(12 + -2x) + -2x * (12 + -2x)) = 70
((12 * 15 + -2x * 15) + -2x * (12 + -2x)) = 70
((180 + -30x) + -2x * (12 + -2x)) = 70
(180 + -30x + (12 * -2x + -2x * -2x)) = 70
(180 + -30x + (-24x + 4x2)) = 70

Combine like terms: -30x + -24x = -54x
(180 + -54x + 4x2) = 70

Solving
180 + -54x + 4x2 = 70

Solving for variable 'x'.

Reorder the terms:
180 + -70 + -54x + 4x2 = 70 + -70

Combine like terms: 180 + -70 = 110
110 + -54x + 4x2 = 70 + -70

Combine like terms: 70 + -70 = 0
110 + -54x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(55 + -27x + 2x2) = 0

Factor a trinomial.
2((5 + -2x)(11 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {2.5, 11}

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