(8-2x)(15-2x)(x)=0

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Solution for (8-2x)(15-2x)(x)=0 equation: 


Simplifying
(8 + -2x)(15 + -2x)(x) = 0

Reorder the terms for easier multiplication:
x(8 + -2x)(15 + -2x) = 0

Multiply (8 + -2x) * (15 + -2x)
x(8(15 + -2x) + -2x * (15 + -2x)) = 0
x((15 * 8 + -2x * 8) + -2x * (15 + -2x)) = 0
x((120 + -16x) + -2x * (15 + -2x)) = 0
x(120 + -16x + (15 * -2x + -2x * -2x)) = 0
x(120 + -16x + (-30x + 4x2)) = 0

Combine like terms: -16x + -30x = -46x
x(120 + -46x + 4x2) = 0
(120 * x + -46x * x + 4x2 * x) = 0
(120x + -46x2 + 4x3) = 0

Solving
120x + -46x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(60 + -23x + 2x2) = 0

Factor a trinomial.
2x((4 + -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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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, 7.5}

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