(11y+5)(y-6)=0

Solution for (11y+5)(y-6)=0 equation:

Simplifying
(11y + 5)(y + -6) = 0

Reorder the terms:
(5 + 11y)(y + -6) = 0

Reorder the terms:
(5 + 11y)(-6 + y) = 0

Multiply (5 + 11y) * (-6 + y)
(5(-6 + y) + 11y * (-6 + y)) = 0
((-6 * 5 + y * 5) + 11y * (-6 + y)) = 0
((-30 + 5y) + 11y * (-6 + y)) = 0
(-30 + 5y + (-6 * 11y + y * 11y)) = 0
(-30 + 5y + (-66y + 11y2)) = 0

Combine like terms: 5y + -66y = -61y
(-30 + -61y + 11y2) = 0

Solving
-30 + -61y + 11y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -11y)(6 + -1y) = 0

Subproblem 1
Set the factor '(-5 + -11y)' equal to zero and attempt to solve:

Simplifying
-5 + -11y = 0

Solving
-5 + -11y = 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 + -11y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -11y = 0 + 5
-11y = 0 + 5

Combine like terms: 0 + 5 = 5
-11y = 5

Divide each side by '-11'.
y = -0.4545454545

Simplifying
y = -0.4545454545
Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6
Solution
y = {-0.4545454545, 6}