(28-2X)*(20-2X)=240

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Solution for (28-2X)*(20-2X)=240 equation: 


Simplifying
(28 + -2X)(20 + -2X) = 240

Multiply (28 + -2X) * (20 + -2X)
(28(20 + -2X) + -2X * (20 + -2X)) = 240
((20 * 28 + -2X * 28) + -2X * (20 + -2X)) = 240
((560 + -56X) + -2X * (20 + -2X)) = 240
(560 + -56X + (20 * -2X + -2X * -2X)) = 240
(560 + -56X + (-40X + 4X2)) = 240

Combine like terms: -56X + -40X = -96X
(560 + -96X + 4X2) = 240

Solving
560 + -96X + 4X2 = 240

Solving for variable 'X'.

Reorder the terms:
560 + -240 + -96X + 4X2 = 240 + -240

Combine like terms: 560 + -240 = 320
320 + -96X + 4X2 = 240 + -240

Combine like terms: 240 + -240 = 0
320 + -96X + 4X2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(80 + -24X + X2) = 0

Factor a trinomial.
4((4 + -1X)(20 + -1X)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(4 + -1X)' equal to zero and attempt to solve:

Simplifying
4 + -1X = 0

Solving
4 + -1X = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1X = 0 + -4
-1X = 0 + -4

Combine like terms: 0 + -4 = -4
-1X = -4

Divide each side by '-1'.
X = 4

Simplifying
X = 4

Subproblem 2
Set the factor '(20 + -1X)' equal to zero and attempt to solve:

Simplifying
20 + -1X = 0

Solving
20 + -1X = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1X = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1X = 0 + -20
-1X = 0 + -20

Combine like terms: 0 + -20 = -20
-1X = -20

Divide each side by '-1'.
X = 20

Simplifying
X = 20
Solution
X = {4, 20}

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