x(x-m)=12m^2

Solution for x(x-m)=12m^2 equation:

Simplifying
x(x + -1m) = 12m2

Reorder the terms:
x(-1m + x) = 12m2
(-1m * x + x * x) = 12m2
(-1mx + x2) = 12m2

Solving
-1mx + x2 = 12m2

Solving for variable 'm'.

Reorder the terms:
-1mx + -12m2 + x2 = 12m2 + -12m2

Combine like terms: 12m2 + -12m2 = 0
-1mx + -12m2 + x2 = 0

Factor a trinomial.
(-3m + -1x)(4m + -1x) = 0

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

Simplifying
-3m + -1x = 0

Solving
-3m + -1x = 0

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

Add 'x' to each side of the equation.
-3m + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-3m + 0 = 0 + x
-3m = 0 + x
Remove the zero:
-3m = x

Divide each side by '-3'.
m = -0.3333333333x

Simplifying
m = -0.3333333333x
Subproblem 2
Set the factor '(4m + -1x)' equal to zero and attempt to solve:

Simplifying
4m + -1x = 0

Solving
4m + -1x = 0

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

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

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

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

Simplifying
m = 0.25x
Solution
m = {-0.3333333333x, 0.25x}