x(15-2x)(27-2x)=0

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Solution for x(15-2x)(27-2x)=0 equation: 


Simplifying
x(15 + -2x)(27 + -2x) = 0

Multiply (15 + -2x) * (27 + -2x)
x(15(27 + -2x) + -2x * (27 + -2x)) = 0
x((27 * 15 + -2x * 15) + -2x * (27 + -2x)) = 0
x((405 + -30x) + -2x * (27 + -2x)) = 0
x(405 + -30x + (27 * -2x + -2x * -2x)) = 0
x(405 + -30x + (-54x + 4x2)) = 0

Combine like terms: -30x + -54x = -84x
x(405 + -84x + 4x2) = 0
(405 * x + -84x * x + 4x2 * x) = 0
(405x + -84x2 + 4x3) = 0

Solving
405x + -84x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(405 + -84x + 4x2) = 0

Factor a trinomial.
x((15 + -2x)(27 + -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 '(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

Subproblem 3
Set the factor '(27 + -2x)' equal to zero and attempt to solve:

Simplifying
27 + -2x = 0

Solving
27 + -2x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -2x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -2x = 0 + -27
-2x = 0 + -27

Combine like terms: 0 + -27 = -27
-2x = -27

Divide each side by '-2'.
x = 13.5

Simplifying
x = 13.5
Solution
x = {0, 7.5, 13.5}

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