(y+5)(y-9)=

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Solution for (y+5)(y-9)= equation: 


Simplifying
(y + 5)(y + -9) = 0

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

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

Multiply (5 + y) * (-9 + y)
(5(-9 + y) + y(-9 + y)) = 0
((-9 * 5 + y * 5) + y(-9 + y)) = 0
((-45 + 5y) + y(-9 + y)) = 0
(-45 + 5y + (-9 * y + y * y)) = 0
(-45 + 5y + (-9y + y2)) = 0

Combine like terms: 5y + -9y = -4y
(-45 + -4y + y2) = 0

Solving
-45 + -4y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -1y)(9 + -1y) = 0


Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve:

Simplifying
-5 + -1y = 0

Solving
-5 + -1y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = 0 + 5
-1y = 0 + 5

Combine like terms: 0 + 5 = 5
-1y = 5

Divide each side by '-1'.
y = -5

Simplifying
y = -5

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 = {-5, 9}

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