60=(20-2x)(16-2x)

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Solution for 60=(20-2x)(16-2x) equation: 


Simplifying
60 = (20 + -2x)(16 + -2x)

Multiply (20 + -2x) * (16 + -2x)
60 = (20(16 + -2x) + -2x * (16 + -2x))
60 = ((16 * 20 + -2x * 20) + -2x * (16 + -2x))
60 = ((320 + -40x) + -2x * (16 + -2x))
60 = (320 + -40x + (16 * -2x + -2x * -2x))
60 = (320 + -40x + (-32x + 4x2))

Combine like terms: -40x + -32x = -72x
60 = (320 + -72x + 4x2)

Solving
60 = 320 + -72x + 4x2

Solving for variable 'x'.

Combine like terms: 60 + -320 = -260
-260 + 72x + -4x2 = 320 + -72x + 4x2 + -320 + 72x + -4x2

Reorder the terms:
-260 + 72x + -4x2 = 320 + -320 + -72x + 72x + 4x2 + -4x2

Combine like terms: 320 + -320 = 0
-260 + 72x + -4x2 = 0 + -72x + 72x + 4x2 + -4x2
-260 + 72x + -4x2 = -72x + 72x + 4x2 + -4x2

Combine like terms: -72x + 72x = 0
-260 + 72x + -4x2 = 0 + 4x2 + -4x2
-260 + 72x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-260 + 72x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-65 + 18x + -1x2) = 0

Factor a trinomial.
4((-13 + x)(5 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-13 + x)' equal to zero and attempt to solve:

Simplifying
-13 + x = 0

Solving
-13 + x = 0

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

Add '13' to each side of the equation.
-13 + 13 + x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + x = 0 + 13
x = 0 + 13

Combine like terms: 0 + 13 = 13
x = 13

Simplifying
x = 13

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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {13, 5}

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