9y^2+13y-42=0

Solution for 9y^2+13y-42=0 equation:

Simplifying
9y2 + 13y + -42 = 0

Reorder the terms:
-42 + 13y + 9y2 = 0

Solving
-42 + 13y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -1y)(14 + -9y) = 0

Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve:

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 0 + 3
-1y = 0 + 3

Combine like terms: 0 + 3 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3
Subproblem 2
Set the factor '(14 + -9y)' equal to zero and attempt to solve:

Simplifying
14 + -9y = 0

Solving
14 + -9y = 0

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

Add '-14' to each side of the equation.
14 + -14 + -9y = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -9y = 0 + -14
-9y = 0 + -14

Combine like terms: 0 + -14 = -14
-9y = -14

Divide each side by '-9'.
y = 1.555555556

Simplifying
y = 1.555555556
Solution
y = {-3, 1.555555556}