a^2+10ab-39b^2=

Solution for a^2+10ab-39b^2= equation:

Simplifying
a2 + 10ab + -39b2 = 0

Reorder the terms:
10ab + a2 + -39b2 = 0

Solving
10ab + a2 + -39b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -3b)(a + 13b) = 0

Subproblem 1
Set the factor '(a + -3b)' equal to zero and attempt to solve:

Simplifying
a + -3b = 0

Solving
a + -3b = 0

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

Add '3b' to each side of the equation.
a + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
a + 0 = 0 + 3b
a = 0 + 3b
Remove the zero:
a = 3b

Simplifying
a = 3b
Subproblem 2
Set the factor '(a + 13b)' equal to zero and attempt to solve:

Simplifying
a + 13b = 0

Solving
a + 13b = 0

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

Add '-13b' to each side of the equation.
a + 13b + -13b = 0 + -13b

Combine like terms: 13b + -13b = 0
a + 0 = 0 + -13b
a = 0 + -13b
Remove the zero:
a = -13b

Simplifying
a = -13b
Solution
a = {3b, -13b}