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

Reorder the terms:
x2 + -1(-3 + 2m) * x + m + -1 = 0

Reorder the terms for easier multiplication:
x2 + -1x(-3 + 2m) + m + -1 = 0
x2 + (-3 * -1x + 2m * -1x) + m + -1 = 0

Reorder the terms:
x2 + (-2mx + 3x) + m + -1 = 0
x2 + (-2mx + 3x) + m + -1 = 0

Reorder the terms:
-1 + m + -2mx + 3x + x2 = 0

Solving
-1 + m + -2mx + 3x + x2 = 0

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + m + -2mx + 3x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + m + -2mx + 3x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + m + -2mx + 3x + x2 = 0 + 1
m + -2mx + 3x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
m + -2mx + 3x + x2 = 1

Add '-3x' to each side of the equation.
m + -2mx + 3x + -3x + x2 = 1 + -3x

Combine like terms: 3x + -3x = 0
m + -2mx + 0 + x2 = 1 + -3x
m + -2mx + x2 = 1 + -3x

Add '-1x2' to each side of the equation.
m + -2mx + x2 + -1x2 = 1 + -3x + -1x2

Combine like terms: x2 + -1x2 = 0
m + -2mx + 0 = 1 + -3x + -1x2
m + -2mx = 1 + -3x + -1x2

Reorder the terms:
-1 + m + -2mx + 3x + x2 = 1 + -3x + -1x2 + -1 + 3x + x2

Reorder the terms:
-1 + m + -2mx + 3x + x2 = 1 + -1 + -3x + 3x + -1x2 + x2

Combine like terms: 1 + -1 = 0
-1 + m + -2mx + 3x + x2 = 0 + -3x + 3x + -1x2 + x2
-1 + m + -2mx + 3x + x2 = -3x + 3x + -1x2 + x2

Combine like terms: -3x + 3x = 0
-1 + m + -2mx + 3x + x2 = 0 + -1x2 + x2
-1 + m + -2mx + 3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1 + m + -2mx + 3x + x2 = 0

The solution to this equation could not be determined.

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