X^2-(m+2)x+3m-3=0

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Solution for X^2-(m+2)x+3m-3=0 equation: 


Simplifying
X2 + -1(m + 2) * x + 3m + -3 = 0

Reorder the terms:
X2 + -1(2 + m) * x + 3m + -3 = 0

Reorder the terms for easier multiplication:
X2 + -1x(2 + m) + 3m + -3 = 0
X2 + (2 * -1x + m * -1x) + 3m + -3 = 0

Reorder the terms:
X2 + (-1mx + -2x) + 3m + -3 = 0
X2 + (-1mx + -2x) + 3m + -3 = 0

Reorder the terms:
-3 + X2 + 3m + -1mx + -2x = 0

Solving
-3 + X2 + 3m + -1mx + -2x = 0

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X2 + 3m + -1mx + 3 + -2x = 0 + 3

Reorder the terms:
-3 + 3 + X2 + 3m + -1mx + -2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + X2 + 3m + -1mx + -2x = 0 + 3
X2 + 3m + -1mx + -2x = 0 + 3

Combine like terms: 0 + 3 = 3
X2 + 3m + -1mx + -2x = 3

Add '-3m' to each side of the equation.
X2 + 3m + -1mx + -3m + -2x = 3 + -3m

Reorder the terms:
X2 + 3m + -3m + -1mx + -2x = 3 + -3m

Combine like terms: 3m + -3m = 0
X2 + 0 + -1mx + -2x = 3 + -3m
X2 + -1mx + -2x = 3 + -3m

Add 'mx' to each side of the equation.
X2 + -1mx + mx + -2x = 3 + -3m + mx

Combine like terms: -1mx + mx = 0
X2 + 0 + -2x = 3 + -3m + mx
X2 + -2x = 3 + -3m + mx

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

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

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

Reorder the terms:
-3 + X2 + 3m + -1mx + -2x = 3 + -3m + mx + 2x + -3 + 3m + -1mx + -2x

Reorder the terms:
-3 + X2 + 3m + -1mx + -2x = 3 + -3 + -3m + 3m + mx + -1mx + 2x + -2x

Combine like terms: 3 + -3 = 0
-3 + X2 + 3m + -1mx + -2x = 0 + -3m + 3m + mx + -1mx + 2x + -2x
-3 + X2 + 3m + -1mx + -2x = -3m + 3m + mx + -1mx + 2x + -2x

Combine like terms: -3m + 3m = 0
-3 + X2 + 3m + -1mx + -2x = 0 + mx + -1mx + 2x + -2x
-3 + X2 + 3m + -1mx + -2x = mx + -1mx + 2x + -2x

Combine like terms: mx + -1mx = 0
-3 + X2 + 3m + -1mx + -2x = 0 + 2x + -2x
-3 + X2 + 3m + -1mx + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + X2 + 3m + -1mx + -2x = 0

The solution to this equation could not be determined.

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