9y^2+8y=1

Solution for 9y^2+8y=1 equation:

Simplifying
9y2 + 8y = 1

Reorder the terms:
8y + 9y2 = 1

Solving
8y + 9y2 = 1

Solving for variable 'y'.

Reorder the terms:
-1 + 8y + 9y2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 8y + 9y2 = 0

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

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

Simplifying
1 + -9y = 0

Solving
1 + -9y = 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 + -9y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9y = 0 + -1
-9y = 0 + -1

Combine like terms: 0 + -1 = -1
-9y = -1

Divide each side by '-9'.
y = 0.1111111111

Simplifying
y = 0.1111111111
Solution
y = {-1, 0.1111111111}