9y^2-7y-2=

Solution for 9y^2-7y-2= equation:

Simplifying
9y2 + -7y + -2 = 0

Reorder the terms:
-2 + -7y + 9y2 = 0

Solving
-2 + -7y + 9y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(-2 + -9y)' equal to zero and attempt to solve:

Simplifying
-2 + -9y = 0

Solving
-2 + -9y = 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 + -9y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -9y = 0 + 2
-9y = 0 + 2

Combine like terms: 0 + 2 = 2
-9y = 2

Divide each side by '-9'.
y = -0.2222222222

Simplifying
y = -0.2222222222
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

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

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

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

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

Simplifying
y = 1
Solution
y = {-0.2222222222, 1}