8y^3-24y^2-1440y=0

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Solution for 8y^3-24y^2-1440y=0 equation: 


Simplifying
8y3 + -24y2 + -1440y = 0

Reorder the terms:
-1440y + -24y2 + 8y3 = 0

Solving
-1440y + -24y2 + 8y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y'.
8y(-180 + -3y + y2) = 0

Factor a trinomial.
8y((-12 + -1y)(15 + -1y)) = 0

Ignore the factor 8.

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 '(-12 + -1y)' equal to zero and attempt to solve:

Simplifying
-12 + -1y = 0

Solving
-12 + -1y = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1y = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1y = 0 + 12
-1y = 0 + 12

Combine like terms: 0 + 12 = 12
-1y = 12

Divide each side by '-1'.
y = -12

Simplifying
y = -12

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

Simplifying
15 + -1y = 0

Solving
15 + -1y = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1y = 0 + -15

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

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

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

Simplifying
y = 15
Solution
y = {0, -12, 15}

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