b^2-5ab-24a^2=

Solution for b^2-5ab-24a^2= equation:

Simplifying
b2 + -5ab + -24a2 = 0

Reorder the terms:
-5ab + -24a2 + b2 = 0

Solving
-5ab + -24a2 + b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-3a + -1b)(8a + -1b) = 0

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

Simplifying
-3a + -1b = 0

Solving
-3a + -1b = 0

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

Add 'b' to each side of the equation.
-3a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
-3a + 0 = 0 + b
-3a = 0 + b
Remove the zero:
-3a = b

Divide each side by '-3'.
a = -0.3333333333b

Simplifying
a = -0.3333333333b
Subproblem 2
Set the factor '(8a + -1b)' equal to zero and attempt to solve:

Simplifying
8a + -1b = 0

Solving
8a + -1b = 0

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

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

Combine like terms: -1b + b = 0
8a + 0 = 0 + b
8a = 0 + b
Remove the zero:
8a = b

Divide each side by '8'.
a = 0.125b

Simplifying
a = 0.125b
Solution
a = {-0.3333333333b, 0.125b}