8y^2-9y=-1

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

Simplifying
8y2 + -9y = -1

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

Solving
-9y + 8y2 = -1

Solving for variable 'y'.

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

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

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

Subproblem 1
Set the factor '(1 + -8y)' equal to zero and attempt to solve:

Simplifying
1 + -8y = 0

Solving
1 + -8y = 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 + -8y = 0 + -1

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

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

Divide each side by '-8'.
y = 0.125

Simplifying
y = 0.125
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 = {0.125, 1}