x(9-2x)(15-2x)=0

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Solution for x(9-2x)(15-2x)=0 equation: 


Simplifying
x(9 + -2x)(15 + -2x) = 0

Multiply (9 + -2x) * (15 + -2x)
x(9(15 + -2x) + -2x * (15 + -2x)) = 0
x((15 * 9 + -2x * 9) + -2x * (15 + -2x)) = 0
x((135 + -18x) + -2x * (15 + -2x)) = 0
x(135 + -18x + (15 * -2x + -2x * -2x)) = 0
x(135 + -18x + (-30x + 4x2)) = 0

Combine like terms: -18x + -30x = -48x
x(135 + -48x + 4x2) = 0
(135 * x + -48x * x + 4x2 * x) = 0
(135x + -48x2 + 4x3) = 0

Solving
135x + -48x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(135 + -48x + 4x2) = 0

Factor a trinomial.
x((9 + -2x)(15 + -2x)) = 0


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 '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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, 4.5, 7.5}

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