3y^2-11y-224=0

Solution for 3y^2-11y-224=0 equation:

Simplifying
3y2 + -11y + -224 = 0

Reorder the terms:
-224 + -11y + 3y2 = 0

Solving
-224 + -11y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(32 + -3y) = 0

Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve:

Simplifying
-7 + -1y = 0

Solving
-7 + -1y = 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 + -1y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = 0 + 7
-1y = 0 + 7

Combine like terms: 0 + 7 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7
Subproblem 2
Set the factor '(32 + -3y)' equal to zero and attempt to solve:

Simplifying
32 + -3y = 0

Solving
32 + -3y = 0

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

Add '-32' to each side of the equation.
32 + -32 + -3y = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -3y = 0 + -32
-3y = 0 + -32

Combine like terms: 0 + -32 = -32
-3y = -32

Divide each side by '-3'.
y = 10.66666667

Simplifying
y = 10.66666667
Solution
y = {-7, 10.66666667}