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

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


Simplifying
X2 + -2mx + 3m + -2 = 0

Reorder the terms:
-2 + X2 + 3m + -2mx = 0

Solving
-2 + X2 + 3m + -2mx = 0

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X2 + 3m + 2 + -2mx = 0 + 2

Reorder the terms:
-2 + 2 + X2 + 3m + -2mx = 0 + 2

Combine like terms: -2 + 2 = 0
0 + X2 + 3m + -2mx = 0 + 2
X2 + 3m + -2mx = 0 + 2

Combine like terms: 0 + 2 = 2
X2 + 3m + -2mx = 2

Add '-3m' to each side of the equation.
X2 + 3m + -3m + -2mx = 2 + -3m

Combine like terms: 3m + -3m = 0
X2 + 0 + -2mx = 2 + -3m
X2 + -2mx = 2 + -3m

Add '2mx' to each side of the equation.
X2 + -2mx + 2mx = 2 + -3m + 2mx

Combine like terms: -2mx + 2mx = 0
X2 + 0 = 2 + -3m + 2mx
X2 = 2 + -3m + 2mx

Simplifying
X2 = 2 + -3m + 2mx

Reorder the terms:
-2 + X2 + 3m + -2mx = 2 + -3m + 2mx + -2 + 3m + -2mx

Reorder the terms:
-2 + X2 + 3m + -2mx = 2 + -2 + -3m + 3m + 2mx + -2mx

Combine like terms: 2 + -2 = 0
-2 + X2 + 3m + -2mx = 0 + -3m + 3m + 2mx + -2mx
-2 + X2 + 3m + -2mx = -3m + 3m + 2mx + -2mx

Combine like terms: -3m + 3m = 0
-2 + X2 + 3m + -2mx = 0 + 2mx + -2mx
-2 + X2 + 3m + -2mx = 2mx + -2mx

Combine like terms: 2mx + -2mx = 0
-2 + X2 + 3m + -2mx = 0

The solution to this equation could not be determined.

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