12y^2+4y-5=0

Solution for 12y^2+4y-5=0 equation:

Simplifying
12y2 + 4y + -5 = 0

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

Solving
-5 + 4y + 12y2 = 0

Solving for variable 'y'.

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

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

Simplifying
-5 + -6y = 0

Solving
-5 + -6y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6y = 0 + 5

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

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

Divide each side by '-6'.
y = -0.8333333333

Simplifying
y = -0.8333333333
Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve:

Simplifying
1 + -2y = 0

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

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

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

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5
Solution
y = {-0.8333333333, 0.5}