y^2-14y-51=

Solution for y^2-14y-51= equation:

Simplifying
y2 + -14y + -51 = 0

Reorder the terms:
-51 + -14y + y2 = 0

Solving
-51 + -14y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -1y)(17 + -1y) = 0

Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve:

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 0 + 3
-1y = 0 + 3

Combine like terms: 0 + 3 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3
Subproblem 2
Set the factor '(17 + -1y)' equal to zero and attempt to solve:

Simplifying
17 + -1y = 0

Solving
17 + -1y = 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 + -1y = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1y = 0 + -17
-1y = 0 + -17

Combine like terms: 0 + -17 = -17
-1y = -17

Divide each side by '-1'.
y = 17

Simplifying
y = 17
Solution
y = {-3, 17}