16y^3-25y=

Solution for 16y^3-25y= equation:

Simplifying
16y3 + -25y = 0

Reorder the terms:
-25y + 16y3 = 0

Solving
-25y + 16y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-25 + 16y2) = 0

Factor a difference between two squares.
y((5 + 4y)(-5 + 4y)) = 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 '(5 + 4y)' equal to zero and attempt to solve:

Simplifying
5 + 4y = 0

Solving
5 + 4y = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4y = 0 + -5
4y = 0 + -5

Combine like terms: 0 + -5 = -5
4y = -5

Divide each side by '4'.
y = -1.25

Simplifying
y = -1.25
Subproblem 3
Set the factor '(-5 + 4y)' equal to zero and attempt to solve:

Simplifying
-5 + 4y = 0

Solving
-5 + 4y = 0

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

Add '5' to each side of the equation.
-5 + 5 + 4y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4y = 0 + 5
4y = 0 + 5

Combine like terms: 0 + 5 = 5
4y = 5

Divide each side by '4'.
y = 1.25

Simplifying
y = 1.25
Solution
y = {0, -1.25, 1.25}