(15-2x)*(8-2x)=60

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Solution for (15-2x)*(8-2x)=60 equation: 


Simplifying
(15 + -2x)(8 + -2x) = 60

Multiply (15 + -2x) * (8 + -2x)
(15(8 + -2x) + -2x * (8 + -2x)) = 60
((8 * 15 + -2x * 15) + -2x * (8 + -2x)) = 60
((120 + -30x) + -2x * (8 + -2x)) = 60
(120 + -30x + (8 * -2x + -2x * -2x)) = 60
(120 + -30x + (-16x + 4x2)) = 60

Combine like terms: -30x + -16x = -46x
(120 + -46x + 4x2) = 60

Solving
120 + -46x + 4x2 = 60

Solving for variable 'x'.

Reorder the terms:
120 + -60 + -46x + 4x2 = 60 + -60

Combine like terms: 120 + -60 = 60
60 + -46x + 4x2 = 60 + -60

Combine like terms: 60 + -60 = 0
60 + -46x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + -23x + 2x2) = 0

Factor a trinomial.
2((3 + -2x)(10 + -1x)) = 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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {1.5, 10}

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