(15-2x)(10-2x)=0

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Solution for (15-2x)(10-2x)=0 equation: 


Simplifying
(15 + -2x)(10 + -2x) = 0

Multiply (15 + -2x) * (10 + -2x)
(15(10 + -2x) + -2x * (10 + -2x)) = 0
((10 * 15 + -2x * 15) + -2x * (10 + -2x)) = 0
((150 + -30x) + -2x * (10 + -2x)) = 0
(150 + -30x + (10 * -2x + -2x * -2x)) = 0
(150 + -30x + (-20x + 4x2)) = 0

Combine like terms: -30x + -20x = -50x
(150 + -50x + 4x2) = 0

Solving
150 + -50x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(75 + -25x + 2x2) = 0

Factor a trinomial.
2((5 + -1x)(15 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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

Simplifying
15 + -2x = 0

Solving
15 + -2x = 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 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15

Combine like terms: 0 + -15 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5
Solution
x = {5, 7.5}

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