y(y+15)=-56

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Solution for y(y+15)=-56 equation: 


Simplifying
y(y + 15) = -56

Reorder the terms:
y(15 + y) = -56
(15 * y + y * y) = -56
(15y + y2) = -56

Solving
15y + y2 = -56

Solving for variable 'y'.

Reorder the terms:
56 + 15y + y2 = -56 + 56

Combine like terms: -56 + 56 = 0
56 + 15y + y2 = 0

Factor a trinomial.
(8 + y)(7 + y) = 0


Subproblem 1
Set the factor '(8 + y)' equal to zero and attempt to solve:

Simplifying
8 + y = 0

Solving
8 + y = 0

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

Add '-8' to each side of the equation.
8 + -8 + y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + y = 0 + -8
y = 0 + -8

Combine like terms: 0 + -8 = -8
y = -8

Simplifying
y = -8

Subproblem 2
Set the factor '(7 + y)' equal to zero and attempt to solve:

Simplifying
7 + y = 0

Solving
7 + y = 0

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

Add '-7' to each side of the equation.
7 + -7 + y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + y = 0 + -7
y = 0 + -7

Combine like terms: 0 + -7 = -7
y = -7

Simplifying
y = -7
Solution
y = {-8, -7}

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