(ab-9)(ab+8)=

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Solution for (ab-9)(ab+8)= equation: 


Simplifying
(ab + -9)(ab + 8) = 0

Reorder the terms:
(-9 + ab)(ab + 8) = 0

Reorder the terms:
(-9 + ab)(8 + ab) = 0

Multiply (-9 + ab) * (8 + ab)
(-9(8 + ab) + ab(8 + ab)) = 0
((8 * -9 + ab * -9) + ab(8 + ab)) = 0
((-72 + -9ab) + ab(8 + ab)) = 0
(-72 + -9ab + (8 * ab + ab * ab)) = 0
(-72 + -9ab + (8ab + a2b2)) = 0

Combine like terms: -9ab + 8ab = -1ab
(-72 + -1ab + a2b2) = 0

Solving
-72 + -1ab + a2b2 = 0

Solving for variable 'a'.

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


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

Simplifying
-8 + -1ab = 0

Solving
-8 + -1ab = 0

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

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

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

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

Divide each side by '-1b'.
a = -8b-1

Simplifying
a = -8b-1

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

Simplifying
9 + -1ab = 0

Solving
9 + -1ab = 0

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

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

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

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

Divide each side by '-1b'.
a = 9b-1

Simplifying
a = 9b-1
Solution
a = {-8b-1, 9b-1}

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