15y^2-22y-37=0

Solution for 15y^2-22y-37=0 equation:

Simplifying
15y2 + -22y + -37 = 0

Reorder the terms:
-37 + -22y + 15y2 = 0

Solving
-37 + -22y + 15y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-1 + -1y)(37 + -15y) = 0

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

Simplifying
-1 + -1y = 0

Solving
-1 + -1y = 0

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

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

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

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

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

Simplifying
y = -1
Subproblem 2
Set the factor '(37 + -15y)' equal to zero and attempt to solve:

Simplifying
37 + -15y = 0

Solving
37 + -15y = 0

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

Add '-37' to each side of the equation.
37 + -37 + -15y = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -15y = 0 + -37
-15y = 0 + -37

Combine like terms: 0 + -37 = -37
-15y = -37

Divide each side by '-15'.
y = 2.466666667

Simplifying
y = 2.466666667
Solution
y = {-1, 2.466666667}