2y^2-15y-297=0

Solution for 2y^2-15y-297=0 equation:

Simplifying
2y2 + -15y + -297 = 0

Reorder the terms:
-297 + -15y + 2y2 = 0

Solving
-297 + -15y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-9 + -1y)(33 + -2y) = 0

Subproblem 1
Set the factor '(-9 + -1y)' equal to zero and attempt to solve:

Simplifying
-9 + -1y = 0

Solving
-9 + -1y = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = 0 + 9
-1y = 0 + 9

Combine like terms: 0 + 9 = 9
-1y = 9

Divide each side by '-1'.
y = -9

Simplifying
y = -9
Subproblem 2
Set the factor '(33 + -2y)' equal to zero and attempt to solve:

Simplifying
33 + -2y = 0

Solving
33 + -2y = 0

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

Add '-33' to each side of the equation.
33 + -33 + -2y = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -2y = 0 + -33
-2y = 0 + -33

Combine like terms: 0 + -33 = -33
-2y = -33

Divide each side by '-2'.
y = 16.5

Simplifying
y = 16.5
Solution
y = {-9, 16.5}