2312=136y-2y^2

Solution for 2312=136y-2y^2 equation:

Simplifying
2312 = 136y + -2y2

Solving
2312 = 136y + -2y2

Solving for variable 'y'.

Reorder the terms:
2312 + -136y + 2y2 = 136y + -136y + -2y2 + 2y2

Combine like terms: 136y + -136y = 0
2312 + -136y + 2y2 = 0 + -2y2 + 2y2
2312 + -136y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
2312 + -136y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1156 + -68y + y2) = 0

Factor a trinomial.
2((34 + -1y)(34 + -1y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(34 + -1y)' equal to zero and attempt to solve:

Simplifying
34 + -1y = 0

Solving
34 + -1y = 0

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

Add '-34' to each side of the equation.
34 + -34 + -1y = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -1y = 0 + -34
-1y = 0 + -34

Combine like terms: 0 + -34 = -34
-1y = -34

Divide each side by '-1'.
y = 34

Simplifying
y = 34
Subproblem 2
Set the factor '(34 + -1y)' equal to zero and attempt to solve:

Simplifying
34 + -1y = 0

Solving
34 + -1y = 0

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

Add '-34' to each side of the equation.
34 + -34 + -1y = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -1y = 0 + -34
-1y = 0 + -34

Combine like terms: 0 + -34 = -34
-1y = -34

Divide each side by '-1'.
y = 34

Simplifying
y = 34
Solution
y = {34, 34}