y^2+14y+21=36

Solution for y^2+14y+21=36 equation:

Simplifying
y2 + 14y + 21 = 36

Reorder the terms:
21 + 14y + y2 = 36

Solving
21 + 14y + y2 = 36

Solving for variable 'y'.

Reorder the terms:
21 + -36 + 14y + y2 = 36 + -36

Combine like terms: 21 + -36 = -15
-15 + 14y + y2 = 36 + -36

Combine like terms: 36 + -36 = 0
-15 + 14y + y2 = 0

Factor a trinomial.
(-15 + -1y)(1 + -1y) = 0

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

Simplifying
-15 + -1y = 0

Solving
-15 + -1y = 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 + -1y = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1y = 0 + 15
-1y = 0 + 15

Combine like terms: 0 + 15 = 15
-1y = 15

Divide each side by '-1'.
y = -15

Simplifying
y = -15
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = 0 + -1
-1y = 0 + -1

Combine like terms: 0 + -1 = -1
-1y = -1

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Solution
y = {-15, 1}