(20-2x)(30-2x)=336

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Solution for (20-2x)(30-2x)=336 equation: 


Simplifying
(20 + -2x)(30 + -2x) = 336

Multiply (20 + -2x) * (30 + -2x)
(20(30 + -2x) + -2x * (30 + -2x)) = 336
((30 * 20 + -2x * 20) + -2x * (30 + -2x)) = 336
((600 + -40x) + -2x * (30 + -2x)) = 336
(600 + -40x + (30 * -2x + -2x * -2x)) = 336
(600 + -40x + (-60x + 4x2)) = 336

Combine like terms: -40x + -60x = -100x
(600 + -100x + 4x2) = 336

Solving
600 + -100x + 4x2 = 336

Solving for variable 'x'.

Reorder the terms:
600 + -336 + -100x + 4x2 = 336 + -336

Combine like terms: 600 + -336 = 264
264 + -100x + 4x2 = 336 + -336

Combine like terms: 336 + -336 = 0
264 + -100x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(66 + -25x + x2) = 0

Factor a trinomial.
4((3 + -1x)(22 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {3, 22}

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