6y^2+11y-21=

Solution for 6y^2+11y-21= equation:

Simplifying
6y2 + 11y + -21 = 0

Reorder the terms:
-21 + 11y + 6y2 = 0

Solving
-21 + 11y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -1y)(7 + -6y) = 0

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

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 0 + 3
-1y = 0 + 3

Combine like terms: 0 + 3 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3
Subproblem 2
Set the factor '(7 + -6y)' equal to zero and attempt to solve:

Simplifying
7 + -6y = 0

Solving
7 + -6y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6y = 0 + -7
-6y = 0 + -7

Combine like terms: 0 + -7 = -7
-6y = -7

Divide each side by '-6'.
y = 1.166666667

Simplifying
y = 1.166666667
Solution
y = {-3, 1.166666667}