0=(30-2x)(20-2x)

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Solution for 0=(30-2x)(20-2x) equation: 


Simplifying
0 = (30 + -2x)(20 + -2x)

Multiply (30 + -2x) * (20 + -2x)
0 = (30(20 + -2x) + -2x * (20 + -2x))
0 = ((20 * 30 + -2x * 30) + -2x * (20 + -2x))
0 = ((600 + -60x) + -2x * (20 + -2x))
0 = (600 + -60x + (20 * -2x + -2x * -2x))
0 = (600 + -60x + (-40x + 4x2))

Combine like terms: -60x + -40x = -100x
0 = (600 + -100x + 4x2)

Solving
0 = 600 + -100x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -600 = -600
-600 + 100x + -4x2 = 600 + -100x + 4x2 + -600 + 100x + -4x2

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

Combine like terms: 600 + -600 = 0
-600 + 100x + -4x2 = 0 + -100x + 100x + 4x2 + -4x2
-600 + 100x + -4x2 = -100x + 100x + 4x2 + -4x2

Combine like terms: -100x + 100x = 0
-600 + 100x + -4x2 = 0 + 4x2 + -4x2
-600 + 100x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-600 + 100x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-150 + 25x + -1x2) = 0

Factor a trinomial.
4((-15 + x)(10 + -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 '(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 = {15, 10}

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