26y^2+37y-70=0

Solution for 26y^2+37y-70=0 equation:

Simplifying
26y2 + 37y + -70 = 0

Reorder the terms:
-70 + 37y + 26y2 = 0

Solving
-70 + 37y + 26y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -2y)(14 + -13y) = 0

Subproblem 1
Set the factor '(-5 + -2y)' equal to zero and attempt to solve:

Simplifying
-5 + -2y = 0

Solving
-5 + -2y = 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 + -2y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2y = 0 + 5
-2y = 0 + 5

Combine like terms: 0 + 5 = 5
-2y = 5

Divide each side by '-2'.
y = -2.5

Simplifying
y = -2.5
Subproblem 2
Set the factor '(14 + -13y)' equal to zero and attempt to solve:

Simplifying
14 + -13y = 0

Solving
14 + -13y = 0

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

Add '-14' to each side of the equation.
14 + -14 + -13y = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -13y = 0 + -14
-13y = 0 + -14

Combine like terms: 0 + -14 = -14
-13y = -14

Divide each side by '-13'.
y = 1.076923077

Simplifying
y = 1.076923077
Solution
y = {-2.5, 1.076923077}