8y^4+72y^3+144y^2=

Solution for 8y^4+72y^3+144y^2= equation:

Simplifying
8y4 + 72y3 + 144y2 = 0

Reorder the terms:
144y2 + 72y3 + 8y4 = 0

Solving
144y2 + 72y3 + 8y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y2'.
8y2(18 + 9y + y2) = 0

Factor a trinomial.
8y2((6 + y)(3 + y)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}
Subproblem 2
Set the factor '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y = 0 + -6
y = 0 + -6

Combine like terms: 0 + -6 = -6
y = -6

Simplifying
y = -6
Subproblem 3
Set the factor '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 0

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

Add '-3' to each side of the equation.
3 + -3 + y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + y = 0 + -3
y = 0 + -3

Combine like terms: 0 + -3 = -3
y = -3

Simplifying
y = -3
Solution
y = {0, -6, -3}