9y^2+10y-16=0

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Solution for 9y^2+10y-16=0 equation: 


Simplifying
9y2 + 10y + -16 = 0

Reorder the terms:
-16 + 10y + 9y2 = 0

Solving
-16 + 10y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -1y)(8 + -9y) = 0


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

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1y = 0 + 2

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

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

Divide each side by '-1'.
y = -2

Simplifying
y = -2

Subproblem 2
Set the factor '(8 + -9y)' equal to zero and attempt to solve:

Simplifying
8 + -9y = 0

Solving
8 + -9y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -9y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9y = 0 + -8
-9y = 0 + -8

Combine like terms: 0 + -8 = -8
-9y = -8

Divide each side by '-9'.
y = 0.8888888889

Simplifying
y = 0.8888888889
Solution
y = {-2, 0.8888888889}

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