2y^2+31y-16=0

Solution for 2y^2+31y-16=0 equation:

Simplifying
2y2 + 31y + -16 = 0

Reorder the terms:
-16 + 31y + 2y2 = 0

Solving
-16 + 31y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-16 + -1y)(1 + -2y) = 0

Subproblem 1
Set the factor '(-16 + -1y)' equal to zero and attempt to solve:

Simplifying
-16 + -1y = 0

Solving
-16 + -1y = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1y = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1y = 0 + 16
-1y = 0 + 16

Combine like terms: 0 + 16 = 16
-1y = 16

Divide each side by '-1'.
y = -16

Simplifying
y = -16
Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve:

Simplifying
1 + -2y = 0

Solving
1 + -2y = 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 + -2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = 0 + -1
-2y = 0 + -1

Combine like terms: 0 + -1 = -1
-2y = -1

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5
Solution
y = {-16, 0.5}