y^2+y-306=0

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Solution for y^2+y-306=0 equation: 


Simplifying
y2 + y + -306 = 0

Reorder the terms:
-306 + y + y2 = 0

Solving
-306 + y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-18 + -1y)(17 + -1y) = 0


Subproblem 1
Set the factor '(-18 + -1y)' equal to zero and attempt to solve:

Simplifying
-18 + -1y = 0

Solving
-18 + -1y = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1y = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1y = 0 + 18
-1y = 0 + 18

Combine like terms: 0 + 18 = 18
-1y = 18

Divide each side by '-1'.
y = -18

Simplifying
y = -18

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 = {-18, 17}

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