(x-3m)(x-3m)=

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Solution for (x-3m)(x-3m)= equation: 


Simplifying
(x + -3m)(x + -3m) = 0

Reorder the terms:
(-3m + x)(x + -3m) = 0

Reorder the terms:
(-3m + x)(-3m + x) = 0

Multiply (-3m + x) * (-3m + x)
(-3m * (-3m + x) + x(-3m + x)) = 0
((-3m * -3m + x * -3m) + x(-3m + x)) = 0

Reorder the terms:
((-3mx + 9m2) + x(-3m + x)) = 0
((-3mx + 9m2) + x(-3m + x)) = 0
(-3mx + 9m2 + (-3m * x + x * x)) = 0
(-3mx + 9m2 + (-3mx + x2)) = 0

Reorder the terms:
(-3mx + -3mx + 9m2 + x2) = 0

Combine like terms: -3mx + -3mx = -6mx
(-6mx + 9m2 + x2) = 0

Solving
-6mx + 9m2 + x2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3m + -1x)(3m + -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 '(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
Solution
m = {0.3333333333x, 0.3333333333x}

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