a^2-3ab-40b^2=0

Solution for a^2-3ab-40b^2=0 equation:

Simplifying
a2 + -3ab + -40b2 = 0

Reorder the terms:
-3ab + a2 + -40b2 = 0

Solving
-3ab + a2 + -40b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -8b)(a + 5b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(a + 5b)' equal to zero and attempt to solve:

Simplifying
a + 5b = 0

Solving
a + 5b = 0

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

Add '-5b' to each side of the equation.
a + 5b + -5b = 0 + -5b

Combine like terms: 5b + -5b = 0
a + 0 = 0 + -5b
a = 0 + -5b
Remove the zero:
a = -5b

Simplifying
a = -5b
Solution
a = {8b, -5b}