x^2-3ax-4a^2=0

Solution for x^2-3ax-4a^2=0 equation:

Simplifying
x2 + -3ax + -4a2 = 0

Reorder the terms:
-3ax + -4a2 + x2 = 0

Solving
-3ax + -4a2 + x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-1a + -1x)(4a + -1x) = 0

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

Simplifying
-1a + -1x = 0

Solving
-1a + -1x = 0

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

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

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

Divide each side by '-1'.
a = -1x

Simplifying
a = -1x
Subproblem 2
Set the factor '(4a + -1x)' equal to zero and attempt to solve:

Simplifying
4a + -1x = 0

Solving
4a + -1x = 0

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

Add 'x' to each side of the equation.
4a + -1x + x = 0 + x

Combine like terms: -1x + x = 0
4a + 0 = 0 + x
4a = 0 + x
Remove the zero:
4a = x

Divide each side by '4'.
a = 0.25x

Simplifying
a = 0.25x
Solution
a = {-1x, 0.25x}