a^2-10ab-24b^2=

Solution for a^2-10ab-24b^2= equation:

Simplifying
a2 + -10ab + -24b2 = 0

Reorder the terms:
-10ab + a2 + -24b2 = 0

Solving
-10ab + a2 + -24b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -12b)(a + 2b) = 0

Subproblem 1
Set the factor '(a + -12b)' equal to zero and attempt to solve:

Simplifying
a + -12b = 0

Solving
a + -12b = 0

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

Add '12b' to each side of the equation.
a + -12b + 12b = 0 + 12b

Combine like terms: -12b + 12b = 0
a + 0 = 0 + 12b
a = 0 + 12b
Remove the zero:
a = 12b

Simplifying
a = 12b
Subproblem 2
Set the factor '(a + 2b)' equal to zero and attempt to solve:

Simplifying
a + 2b = 0

Solving
a + 2b = 0

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

Add '-2b' to each side of the equation.
a + 2b + -2b = 0 + -2b

Combine like terms: 2b + -2b = 0
a + 0 = 0 + -2b
a = 0 + -2b
Remove the zero:
a = -2b

Simplifying
a = -2b
Solution
a = {12b, -2b}