2y^2+y-120=0

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


Simplifying
2y2 + y + -120 = 0

Reorder the terms:
-120 + y + 2y2 = 0

Solving
-120 + y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -1y)(15 + -2y) = 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 + -2y)' equal to zero and attempt to solve:

Simplifying
15 + -2y = 0

Solving
15 + -2y = 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 + -2y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2y = 0 + -15
-2y = 0 + -15

Combine like terms: 0 + -15 = -15
-2y = -15

Divide each side by '-2'.
y = 7.5

Simplifying
y = 7.5
Solution
y = {-8, 7.5}

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