5x(x+8)(x-15)=0

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Solution for 5x(x+8)(x-15)=0 equation: 


Simplifying
5x(x + 8)(x + -15) = 0

Reorder the terms:
5x(8 + x)(x + -15) = 0

Reorder the terms:
5x(8 + x)(-15 + x) = 0

Multiply (8 + x) * (-15 + x)
5x(8(-15 + x) + x(-15 + x)) = 0
5x((-15 * 8 + x * 8) + x(-15 + x)) = 0
5x((-120 + 8x) + x(-15 + x)) = 0
5x(-120 + 8x + (-15 * x + x * x)) = 0
5x(-120 + 8x + (-15x + x2)) = 0

Combine like terms: 8x + -15x = -7x
5x(-120 + -7x + x2) = 0
(-120 * 5x + -7x * 5x + x2 * 5x) = 0
(-600x + -35x2 + 5x3) = 0

Solving
-600x + -35x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-120 + -7x + x2) = 0

Factor a trinomial.
5x((-8 + -1x)(15 + -1x)) = 0

Ignore the factor 5.

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 '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 3
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 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 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {0, -8, 15}

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