-4(y-9)(-y-1)=0

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Solution for -4(y-9)(-y-1)=0 equation: 


Simplifying
-4(y + -9)(-1y + -1) = 0

Reorder the terms:
-4(-9 + y)(-1y + -1) = 0

Reorder the terms:
-4(-9 + y)(-1 + -1y) = 0

Multiply (-9 + y) * (-1 + -1y)
-4(-9(-1 + -1y) + y(-1 + -1y)) = 0
-4((-1 * -9 + -1y * -9) + y(-1 + -1y)) = 0
-4((9 + 9y) + y(-1 + -1y)) = 0
-4(9 + 9y + (-1 * y + -1y * y)) = 0
-4(9 + 9y + (-1y + -1y2)) = 0

Combine like terms: 9y + -1y = 8y
-4(9 + 8y + -1y2) = 0
(9 * -4 + 8y * -4 + -1y2 * -4) = 0
(-36 + -32y + 4y2) = 0

Solving
-36 + -32y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + -8y + y2) = 0

Factor a trinomial.
4((-1 + -1y)(9 + -1y)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(9 + -1y)' equal to zero and attempt to solve:

Simplifying
9 + -1y = 0

Solving
9 + -1y = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = 0 + -9
-1y = 0 + -9

Combine like terms: 0 + -9 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9
Solution
y = {-1, 9}

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