3x(x+5)(x-16)=

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Solution for 3x(x+5)(x-16)= equation: 


Simplifying
3x(x + 5)(x + -16) = 0

Reorder the terms:
3x(5 + x)(x + -16) = 0

Reorder the terms:
3x(5 + x)(-16 + x) = 0

Multiply (5 + x) * (-16 + x)
3x(5(-16 + x) + x(-16 + x)) = 0
3x((-16 * 5 + x * 5) + x(-16 + x)) = 0
3x((-80 + 5x) + x(-16 + x)) = 0
3x(-80 + 5x + (-16 * x + x * x)) = 0
3x(-80 + 5x + (-16x + x2)) = 0

Combine like terms: 5x + -16x = -11x
3x(-80 + -11x + x2) = 0
(-80 * 3x + -11x * 3x + x2 * 3x) = 0
(-240x + -33x2 + 3x3) = 0

Solving
-240x + -33x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-80 + -11x + x2) = 0

Factor a trinomial.
3x((-5 + -1x)(16 + -1x)) = 0

Ignore the factor 3.

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 '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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, -5, 16}

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