6y^2+20y-26=0

Solution for 6y^2+20y-26=0 equation:

Simplifying
6y2 + 20y + -26 = 0

Reorder the terms:
-26 + 20y + 6y2 = 0

Solving
-26 + 20y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-13 + 10y + 3y2) = 0

Factor a trinomial.
2((-13 + -3y)(1 + -1y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-13 + -3y)' equal to zero and attempt to solve:

Simplifying
-13 + -3y = 0

Solving
-13 + -3y = 0

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

Add '13' to each side of the equation.
-13 + 13 + -3y = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -3y = 0 + 13
-3y = 0 + 13

Combine like terms: 0 + 13 = 13
-3y = 13

Divide each side by '-3'.
y = -4.333333333

Simplifying
y = -4.333333333
Subproblem 2
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
Solution
y = {-4.333333333, 1}