45y^2+360y+720=0

Solution for 45y^2+360y+720=0 equation:

Simplifying
45y2 + 360y + 720 = 0

Reorder the terms:
720 + 360y + 45y2 = 0

Solving
720 + 360y + 45y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '45'.
45(16 + 8y + y2) = 0

Factor a trinomial.
45((4 + y)(4 + y)) = 0

Ignore the factor 45.
Subproblem 1
Set the factor '(4 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 0

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

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

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

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

Simplifying
y = -4
Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 0

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

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

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

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

Simplifying
y = -4
Solution
y = {-4, -4}