3(y-1)(y+11)=

Solution for 3(y-1)(y+11)= equation:

Simplifying
3(y + -1)(y + 11) = 0

Reorder the terms:
3(-1 + y)(y + 11) = 0

Reorder the terms:
3(-1 + y)(11 + y) = 0

Multiply (-1 + y) * (11 + y)
3(-1(11 + y) + y(11 + y)) = 0
3((11 * -1 + y * -1) + y(11 + y)) = 0
3((-11 + -1y) + y(11 + y)) = 0
3(-11 + -1y + (11 * y + y * y)) = 0
3(-11 + -1y + (11y + y2)) = 0

Combine like terms: -1y + 11y = 10y
3(-11 + 10y + y2) = 0
(-11 * 3 + 10y * 3 + y2 * 3) = 0
(-33 + 30y + 3y2) = 0

Solving
-33 + 30y + 3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-11 + 10y + y2) = 0

Factor a trinomial.
3((-11 + -1y)(1 + -1y)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-11 + -1y)' equal to zero and attempt to solve:

Simplifying
-11 + -1y = 0

Solving
-11 + -1y = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1y = 0 + 11
-1y = 0 + 11

Combine like terms: 0 + 11 = 11
-1y = 11

Divide each side by '-1'.
y = -11

Simplifying
y = -11
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

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

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

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

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

Simplifying
y = 1
Solution
y = {-11, 1}