0=(60-2x)*(30-2x)

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Solution for 0=(60-2x)*(30-2x) equation: 


Simplifying
0 = (60 + -2x)(30 + -2x)

Multiply (60 + -2x) * (30 + -2x)
0 = (60(30 + -2x) + -2x * (30 + -2x))
0 = ((30 * 60 + -2x * 60) + -2x * (30 + -2x))
0 = ((1800 + -120x) + -2x * (30 + -2x))
0 = (1800 + -120x + (30 * -2x + -2x * -2x))
0 = (1800 + -120x + (-60x + 4x2))

Combine like terms: -120x + -60x = -180x
0 = (1800 + -180x + 4x2)

Solving
0 = 1800 + -180x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -1800 = -1800
-1800 + 180x + -4x2 = 1800 + -180x + 4x2 + -1800 + 180x + -4x2

Reorder the terms:
-1800 + 180x + -4x2 = 1800 + -1800 + -180x + 180x + 4x2 + -4x2

Combine like terms: 1800 + -1800 = 0
-1800 + 180x + -4x2 = 0 + -180x + 180x + 4x2 + -4x2
-1800 + 180x + -4x2 = -180x + 180x + 4x2 + -4x2

Combine like terms: -180x + 180x = 0
-1800 + 180x + -4x2 = 0 + 4x2 + -4x2
-1800 + 180x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-1800 + 180x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-450 + 45x + -1x2) = 0

Factor a trinomial.
4((-30 + x)(15 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-30 + x)' equal to zero and attempt to solve:

Simplifying
-30 + x = 0

Solving
-30 + x = 0

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

Add '30' to each side of the equation.
-30 + 30 + x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + x = 0 + 30
x = 0 + 30

Combine like terms: 0 + 30 = 30
x = 30

Simplifying
x = 30

Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 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 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {30, 15}

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