y^2+28y+187=0

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Solution for y^2+28y+187=0 equation: 


Simplifying
y2 + 28y + 187 = 0

Reorder the terms:
187 + 28y + y2 = 0

Solving
187 + 28y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(17 + y)(11 + y) = 0


Subproblem 1
Set the factor '(17 + y)' equal to zero and attempt to solve:

Simplifying
17 + y = 0

Solving
17 + y = 0

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

Add '-17' to each side of the equation.
17 + -17 + y = 0 + -17

Combine like terms: 17 + -17 = 0
0 + y = 0 + -17
y = 0 + -17

Combine like terms: 0 + -17 = -17
y = -17

Simplifying
y = -17

Subproblem 2
Set the factor '(11 + y)' equal to zero and attempt to solve:

Simplifying
11 + y = 0

Solving
11 + y = 0

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

Add '-11' to each side of the equation.
11 + -11 + y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + y = 0 + -11
y = 0 + -11

Combine like terms: 0 + -11 = -11
y = -11

Simplifying
y = -11
Solution
y = {-17, -11}

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