(y-1)(y+9)=11

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Solution for (y-1)(y+9)=11 equation: 


Simplifying
(y + -1)(y + 9) = 11

Reorder the terms:
(-1 + y)(y + 9) = 11

Reorder the terms:
(-1 + y)(9 + y) = 11

Multiply (-1 + y) * (9 + y)
(-1(9 + y) + y(9 + y)) = 11
((9 * -1 + y * -1) + y(9 + y)) = 11
((-9 + -1y) + y(9 + y)) = 11
(-9 + -1y + (9 * y + y * y)) = 11
(-9 + -1y + (9y + y2)) = 11

Combine like terms: -1y + 9y = 8y
(-9 + 8y + y2) = 11

Solving
-9 + 8y + y2 = 11

Solving for variable 'y'.

Reorder the terms:
-9 + -11 + 8y + y2 = 11 + -11

Combine like terms: -9 + -11 = -20
-20 + 8y + y2 = 11 + -11

Combine like terms: 11 + -11 = 0
-20 + 8y + y2 = 0

Factor a trinomial.
(-10 + -1y)(2 + -1y) = 0


Subproblem 1
Set the factor '(-10 + -1y)' equal to zero and attempt to solve:

Simplifying
-10 + -1y = 0

Solving
-10 + -1y = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1y = 0 + 10
-1y = 0 + 10

Combine like terms: 0 + 10 = 10
-1y = 10

Divide each side by '-1'.
y = -10

Simplifying
y = -10

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-10, 2}

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