5y^2-4y-12=

Solution for 5y^2-4y-12= equation:

Simplifying
5y2 + -4y + -12 = 0

Reorder the terms:
-12 + -4y + 5y2 = 0

Solving
-12 + -4y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -5y)(2 + -1y) = 0

Subproblem 1
Set the factor '(-6 + -5y)' equal to zero and attempt to solve:

Simplifying
-6 + -5y = 0

Solving
-6 + -5y = 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 + -5y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5y = 0 + 6
-5y = 0 + 6

Combine like terms: 0 + 6 = 6
-5y = 6

Divide each side by '-5'.
y = -1.2

Simplifying
y = -1.2
Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 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 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-1.2, 2}