X^2+(2m-3)x+m+1=0

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Solution for X^2+(2m-3)x+m+1=0 equation: 


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

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

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

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

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

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

Solving for variable 'X'.

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

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

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

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

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

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

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

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

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

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

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

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

Simplifying
X2 = -1 + -1m + -2mx + 3x

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

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

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

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

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

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

The solution to this equation could not be determined.

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