6x^2+5mx+m^2=0

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Solution for 6x^2+5mx+m^2=0 equation: 


Simplifying
6x2 + 5mx + m2 = 0

Reorder the terms:
5mx + m2 + 6x2 = 0

Solving
5mx + m2 + 6x2 = 0

Solving for variable 'm'.

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


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

Simplifying
m + 2x = 0

Solving
m + 2x = 0

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

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

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

Simplifying
m = -2x

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

Simplifying
m + 3x = 0

Solving
m + 3x = 0

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

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

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

Simplifying
m = -3x
Solution
m = {-2x, -3x}

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