(8-y)(2y+9)=0

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Solution for (8-y)(2y+9)=0 equation: 


Simplifying
(8 + -1y)(2y + 9) = 0

Reorder the terms:
(8 + -1y)(9 + 2y) = 0

Multiply (8 + -1y) * (9 + 2y)
(8(9 + 2y) + -1y * (9 + 2y)) = 0
((9 * 8 + 2y * 8) + -1y * (9 + 2y)) = 0
((72 + 16y) + -1y * (9 + 2y)) = 0
(72 + 16y + (9 * -1y + 2y * -1y)) = 0
(72 + 16y + (-9y + -2y2)) = 0

Combine like terms: 16y + -9y = 7y
(72 + 7y + -2y2) = 0

Solving
72 + 7y + -2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(8 + -1y)(9 + 2y) = 0


Subproblem 1
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8

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

Simplifying
9 + 2y = 0

Solving
9 + 2y = 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 + 2y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2y = 0 + -9
2y = 0 + -9

Combine like terms: 0 + -9 = -9
2y = -9

Divide each side by '2'.
y = -4.5

Simplifying
y = -4.5
Solution
y = {8, -4.5}

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