2(3y^2-11y-20)=0

Solution for 2(3y^2-11y-20)=0 equation:

Simplifying
2(3y2 + -11y + -20) = 0

Reorder the terms:
2(-20 + -11y + 3y2) = 0
(-20 * 2 + -11y * 2 + 3y2 * 2) = 0
(-40 + -22y + 6y2) = 0

Solving
-40 + -22y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -11y + 3y2) = 0

Factor a trinomial.
2((-4 + -3y)(5 + -1y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -3y)' equal to zero and attempt to solve:

Simplifying
-4 + -3y = 0

Solving
-4 + -3y = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3y = 0 + 4
-3y = 0 + 4

Combine like terms: 0 + 4 = 4
-3y = 4

Divide each side by '-3'.
y = -1.333333333

Simplifying
y = -1.333333333
Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-1.333333333, 5}