(y+15)(y+12)=0

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Solution for (y+15)(y+12)=0 equation: 


Simplifying
(y + 15)(y + 12) = 0

Reorder the terms:
(15 + y)(y + 12) = 0

Reorder the terms:
(15 + y)(12 + y) = 0

Multiply (15 + y) * (12 + y)
(15(12 + y) + y(12 + y)) = 0
((12 * 15 + y * 15) + y(12 + y)) = 0
((180 + 15y) + y(12 + y)) = 0
(180 + 15y + (12 * y + y * y)) = 0
(180 + 15y + (12y + y2)) = 0

Combine like terms: 15y + 12y = 27y
(180 + 27y + y2) = 0

Solving
180 + 27y + y2 = 0

Solving for variable 'y'.

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


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

Simplifying
15 + y = 0

Solving
15 + y = 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 + y = 0 + -15

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

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

Simplifying
y = -15

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 = {-15, -12}

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