12y^2-58y-70=0

Solution for 12y^2-58y-70=0 equation:

Simplifying
12y2 + -58y + -70 = 0

Reorder the terms:
-70 + -58y + 12y2 = 0

Solving
-70 + -58y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + -29y + 6y2) = 0

Factor a trinomial.
2((-1 + -1y)(35 + -6y)) = 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 '(35 + -6y)' equal to zero and attempt to solve:

Simplifying
35 + -6y = 0

Solving
35 + -6y = 0

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

Add '-35' to each side of the equation.
35 + -35 + -6y = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -6y = 0 + -35
-6y = 0 + -35

Combine like terms: 0 + -35 = -35
-6y = -35

Divide each side by '-6'.
y = 5.833333333

Simplifying
y = 5.833333333
Solution
y = {-1, 5.833333333}