2y^2-12=10y

Solution for 2y^2-12=10y equation:

Simplifying
2y2 + -12 = 10y

Reorder the terms:
-12 + 2y2 = 10y

Solving
-12 + 2y2 = 10y

Solving for variable 'y'.

Reorder the terms:
-12 + -10y + 2y2 = 10y + -10y

Combine like terms: 10y + -10y = 0
-12 + -10y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -5y + y2) = 0

Factor a trinomial.
2((-1 + -1y)(6 + -1y)) = 0

Ignore the factor 2.
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 '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6
Solution
y = {-1, 6}