3X^2+2Xm-m^2=0

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Solution for 3X^2+2Xm-m^2=0 equation: 


Simplifying
3X2 + 2Xm + -1m2 = 0

Solving
3X2 + 2mX + -1m2 = 0

Solving for variable 'X'.

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


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

Simplifying
3X + -1m = 0

Solving
3X + -1m = 0

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

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

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

Divide each side by '3'.
X = 0.3333333333m

Simplifying
X = 0.3333333333m

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

Simplifying
X + m = 0

Solving
X + m = 0

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

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

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

Simplifying
X = -1m
Solution
X = {0.3333333333m, -1m}

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