-5y^2+9y+14=0

Solution for -5y^2+9y+14=0 equation:

Simplifying
-5y2 + 9y + 14 = 0

Reorder the terms:
14 + 9y + -5y2 = 0

Solving
14 + 9y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(14 + -5y)(1 + y) = 0

Subproblem 1
Set the factor '(14 + -5y)' equal to zero and attempt to solve:

Simplifying
14 + -5y = 0

Solving
14 + -5y = 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 + -5y = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -5y = 0 + -14
-5y = 0 + -14

Combine like terms: 0 + -14 = -14
-5y = -14

Divide each side by '-5'.
y = 2.8

Simplifying
y = 2.8
Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

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

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

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

Simplifying
y = -1
Solution
y = {2.8, -1}