(6y+1)(y-11)=0

Solution for (6y+1)(y-11)=0 equation:

Simplifying
(6y + 1)(y + -11) = 0

Reorder the terms:
(1 + 6y)(y + -11) = 0

Reorder the terms:
(1 + 6y)(-11 + y) = 0

Multiply (1 + 6y) * (-11 + y)
(1(-11 + y) + 6y * (-11 + y)) = 0
((-11 * 1 + y * 1) + 6y * (-11 + y)) = 0
((-11 + 1y) + 6y * (-11 + y)) = 0
(-11 + 1y + (-11 * 6y + y * 6y)) = 0
(-11 + 1y + (-66y + 6y2)) = 0

Combine like terms: 1y + -66y = -65y
(-11 + -65y + 6y2) = 0

Solving
-11 + -65y + 6y2 = 0

Solving for variable 'y'.

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

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

Simplifying
-1 + -6y = 0

Solving
-1 + -6y = 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 + -6y = 0 + 1

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

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

Divide each side by '-6'.
y = -0.1666666667

Simplifying
y = -0.1666666667
Subproblem 2
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
Solution
y = {-0.1666666667, 11}