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

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


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

Multiply (30 + -2x) * (20 + -2x)
(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)) = 0

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

Solving
600 + -100x + 4x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
4((10 + -1x)(15 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
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

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 = {10, 15}

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