5x(x+1)(x-16)=0

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Solution for 5x(x+1)(x-16)=0 equation: 


Simplifying
5x(x + 1)(x + -16) = 0

Reorder the terms:
5x(1 + x)(x + -16) = 0

Reorder the terms:
5x(1 + x)(-16 + x) = 0

Multiply (1 + x) * (-16 + x)
5x(1(-16 + x) + x(-16 + x)) = 0
5x((-16 * 1 + x * 1) + x(-16 + x)) = 0
5x((-16 + 1x) + x(-16 + x)) = 0
5x(-16 + 1x + (-16 * x + x * x)) = 0
5x(-16 + 1x + (-16x + x2)) = 0

Combine like terms: 1x + -16x = -15x
5x(-16 + -15x + x2) = 0
(-16 * 5x + -15x * 5x + x2 * 5x) = 0
(-80x + -75x2 + 5x3) = 0

Solving
-80x + -75x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-16 + -15x + x2) = 0

Factor a trinomial.
5x((-1 + -1x)(16 + -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 '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 3
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {0, -1, 16}

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