y^2+12y+72=72

Solution for y^2+12y+72=72 equation:

Simplifying
y2 + 12y + 72 = 72

Reorder the terms:
72 + 12y + y2 = 72

Add '-72' to each side of the equation.
72 + 12y + -72 + y2 = 72 + -72

Reorder the terms:
72 + -72 + 12y + y2 = 72 + -72

Combine like terms: 72 + -72 = 0
0 + 12y + y2 = 72 + -72
12y + y2 = 72 + -72

Combine like terms: 72 + -72 = 0
12y + y2 = 0

Solving
12y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(12 + y) = 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 '(12 + y)' equal to zero and attempt to solve:

Simplifying
12 + y = 0

Solving
12 + y = 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 + y = 0 + -12

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

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

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