y(y+1)(y-16)=0

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


Simplifying
y(y + 1)(y + -16) = 0

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

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

Multiply (1 + y) * (-16 + y)
y(1(-16 + y) + y(-16 + y)) = 0
y((-16 * 1 + y * 1) + y(-16 + y)) = 0
y((-16 + 1y) + y(-16 + y)) = 0
y(-16 + 1y + (-16 * y + y * y)) = 0
y(-16 + 1y + (-16y + y2)) = 0

Combine like terms: 1y + -16y = -15y
y(-16 + -15y + y2) = 0
(-16 * y + -15y * y + y2 * y) = 0
(-16y + -15y2 + y3) = 0

Solving
-16y + -15y2 + y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-16 + -15y + y2) = 0

Factor a trinomial.
y((-1 + -1y)(16 + -1y)) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-1 + -1y)' equal to zero and attempt to solve:

Simplifying
-1 + -1y = 0

Solving
-1 + -1y = 0

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

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

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

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

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

Simplifying
y = -1

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

Simplifying
16 + -1y = 0

Solving
16 + -1y = 0

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

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

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

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

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

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

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