3x^2+4mx-4m^2=0

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Solution for 3x^2+4mx-4m^2=0 equation: 


Simplifying
3x2 + 4mx + -4m2 = 0

Reorder the terms:
4mx + -4m2 + 3x2 = 0

Solving
4mx + -4m2 + 3x2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-2m + -1x)(2m + -3x) = 0


Subproblem 1
Set the factor '(-2m + -1x)' equal to zero and attempt to solve:

Simplifying
-2m + -1x = 0

Solving
-2m + -1x = 0

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

Add 'x' to each side of the equation.
-2m + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-2m + 0 = 0 + x
-2m = 0 + x
Remove the zero:
-2m = x

Divide each side by '-2'.
m = -0.5x

Simplifying
m = -0.5x

Subproblem 2
Set the factor '(2m + -3x)' equal to zero and attempt to solve:

Simplifying
2m + -3x = 0

Solving
2m + -3x = 0

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

Add '3x' to each side of the equation.
2m + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
2m + 0 = 0 + 3x
2m = 0 + 3x
Remove the zero:
2m = 3x

Divide each side by '2'.
m = 1.5x

Simplifying
m = 1.5x
Solution
m = {-0.5x, 1.5x}

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