140=(20-2x)(16-2x)

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Solution for 140=(20-2x)(16-2x) equation: 


Simplifying
140 = (20 + -2x)(16 + -2x)

Multiply (20 + -2x) * (16 + -2x)
140 = (20(16 + -2x) + -2x * (16 + -2x))
140 = ((16 * 20 + -2x * 20) + -2x * (16 + -2x))
140 = ((320 + -40x) + -2x * (16 + -2x))
140 = (320 + -40x + (16 * -2x + -2x * -2x))
140 = (320 + -40x + (-32x + 4x2))

Combine like terms: -40x + -32x = -72x
140 = (320 + -72x + 4x2)

Solving
140 = 320 + -72x + 4x2

Solving for variable 'x'.

Combine like terms: 140 + -320 = -180
-180 + 72x + -4x2 = 320 + -72x + 4x2 + -320 + 72x + -4x2

Reorder the terms:
-180 + 72x + -4x2 = 320 + -320 + -72x + 72x + 4x2 + -4x2

Combine like terms: 320 + -320 = 0
-180 + 72x + -4x2 = 0 + -72x + 72x + 4x2 + -4x2
-180 + 72x + -4x2 = -72x + 72x + 4x2 + -4x2

Combine like terms: -72x + 72x = 0
-180 + 72x + -4x2 = 0 + 4x2 + -4x2
-180 + 72x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-180 + 72x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-45 + 18x + -1x2) = 0

Factor a trinomial.
4((-15 + x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-15 + x)' equal to zero and attempt to solve:

Simplifying
-15 + x = 0

Solving
-15 + x = 0

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

Add '15' to each side of the equation.
-15 + 15 + x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + x = 0 + 15
x = 0 + 15

Combine like terms: 0 + 15 = 15
x = 15

Simplifying
x = 15

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {15, 3}

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