7y=9y^2-2

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

Simplifying
7y = 9y2 + -2

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

Solving
7y = -2 + 9y2

Solving for variable 'y'.

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

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

Combine like terms: -2 + 2 = 0
2 + 7y + -9y2 = 0 + 9y2 + -9y2
2 + 7y + -9y2 = 9y2 + -9y2

Combine like terms: 9y2 + -9y2 = 0
2 + 7y + -9y2 = 0

Factor a trinomial.
(1 + -1y)(2 + 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 '(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
Solution
y = {1, -0.2222222222}