(a-9b)(a+8b)=

Solution for (a-9b)(a+8b)= equation:

Simplifying
(a + -9b)(a + 8b) = 0

Multiply (a + -9b) * (a + 8b)
(a(a + 8b) + -9b * (a + 8b)) = 0
((a * a + 8b * a) + -9b * (a + 8b)) = 0

Reorder the terms:
((8ab + a2) + -9b * (a + 8b)) = 0
((8ab + a2) + -9b * (a + 8b)) = 0
(8ab + a2 + (a * -9b + 8b * -9b)) = 0
(8ab + a2 + (-9ab + -72b2)) = 0

Reorder the terms:
(8ab + -9ab + a2 + -72b2) = 0

Combine like terms: 8ab + -9ab = -1ab
(-1ab + a2 + -72b2) = 0

Solving
-1ab + a2 + -72b2 = 0

Solving for variable 'a'.

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

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

Simplifying
a + -9b = 0

Solving
a + -9b = 0

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

Add '9b' to each side of the equation.
a + -9b + 9b = 0 + 9b

Combine like terms: -9b + 9b = 0
a + 0 = 0 + 9b
a = 0 + 9b
Remove the zero:
a = 9b

Simplifying
a = 9b
Subproblem 2
Set the factor '(a + 8b)' equal to zero and attempt to solve:

Simplifying
a + 8b = 0

Solving
a + 8b = 0

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

Add '-8b' to each side of the equation.
a + 8b + -8b = 0 + -8b

Combine like terms: 8b + -8b = 0
a + 0 = 0 + -8b
a = 0 + -8b
Remove the zero:
a = -8b

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