(Y+10)(Y-11)=

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Solution for (Y+10)(Y-11)= equation: 


Simplifying
(Y + 10)(Y + -11) = 0

Reorder the terms:
(10 + Y)(Y + -11) = 0

Reorder the terms:
(10 + Y)(-11 + Y) = 0

Multiply (10 + Y) * (-11 + Y)
(10(-11 + Y) + Y(-11 + Y)) = 0
((-11 * 10 + Y * 10) + Y(-11 + Y)) = 0
((-110 + 10Y) + Y(-11 + Y)) = 0
(-110 + 10Y + (-11 * Y + Y * Y)) = 0
(-110 + 10Y + (-11Y + Y2)) = 0

Combine like terms: 10Y + -11Y = -1Y
(-110 + -1Y + Y2) = 0

Solving
-110 + -1Y + Y2 = 0

Solving for variable 'Y'.

Factor a trinomial.
(-10 + -1Y)(11 + -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 '(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 = {-10, 11}

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