21y^2+85y-26=0

Solution for 21y^2+85y-26=0 equation:

Simplifying
21y2 + 85y + -26 = 0

Reorder the terms:
-26 + 85y + 21y2 = 0

Solving
-26 + 85y + 21y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-13 + -3y)(2 + -7y) = 0

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 '(2 + -7y)' equal to zero and attempt to solve:

Simplifying
2 + -7y = 0

Solving
2 + -7y = 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 + -7y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7y = 0 + -2
-7y = 0 + -2

Combine like terms: 0 + -2 = -2
-7y = -2

Divide each side by '-7'.
y = 0.2857142857

Simplifying
y = 0.2857142857
Solution
y = {-4.333333333, 0.2857142857}