y^2-7y-120=0

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Solution for y^2-7y-120=0 equation: 


Simplifying
y2 + -7y + -120 = 0

Reorder the terms:
-120 + -7y + y2 = 0

Solving
-120 + -7y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -1y)(15 + -1y) = 0


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

Simplifying
-8 + -1y = 0

Solving
-8 + -1y = 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 + -1y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1y = 0 + 8
-1y = 0 + 8

Combine like terms: 0 + 8 = 8
-1y = 8

Divide each side by '-1'.
y = -8

Simplifying
y = -8

Subproblem 2
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
Solution
y = {-8, 15}

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