2y^2+29y-15=0

Solution for 2y^2+29y-15=0 equation:

Simplifying
2y2 + 29y + -15 = 0

Reorder the terms:
-15 + 29y + 2y2 = 0

Solving
-15 + 29y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-15 + -1y)(1 + -2y) = 0

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

Simplifying
-15 + -1y = 0

Solving
-15 + -1y = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1y = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1y = 0 + 15
-1y = 0 + 15

Combine like terms: 0 + 15 = 15
-1y = 15

Divide each side by '-1'.
y = -15

Simplifying
y = -15
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 = {-15, 0.5}