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

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


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

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

Combine like terms: -30x + -20x = -50x
x(150 + -50x + 4x2) = 0
(150 * x + -50x * x + 4x2 * x) = 0
(150x + -50x2 + 4x3) = 0

Solving
150x + -50x2 + 4x3 = 0

Solving for variable 'x'.

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

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

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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 3
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 = {0, 5, 7.5}

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