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

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


Simplifying
(m + -1) * x2 + (2m + -3) * x + (m + -3) = 0

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

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

Reorder the terms:
(mx2 + -1x2) + (2m + -3) * x + (m + -3) = 0
(mx2 + -1x2) + (2m + -3) * x + (m + -3) = 0

Reorder the terms:
mx2 + -1x2 + (-3 + 2m) * x + (m + -3) = 0

Reorder the terms for easier multiplication:
mx2 + -1x2 + x(-3 + 2m) + (m + -3) = 0
mx2 + -1x2 + (-3 * x + 2m * x) + (m + -3) = 0

Reorder the terms:
mx2 + -1x2 + (2mx + -3x) + (m + -3) = 0
mx2 + -1x2 + (2mx + -3x) + (m + -3) = 0

Reorder the terms:
mx2 + -1x2 + 2mx + -3x + (-3 + m) = 0

Remove parenthesis around (-3 + m)
mx2 + -1x2 + 2mx + -3x + -3 + m = 0

Reorder the terms:
-3 + m + 2mx + mx2 + -3x + -1x2 = 0

Solving
-3 + m + 2mx + mx2 + -3x + -1x2 = 0

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + m + 2mx + mx2 + -3x + 3 + -1x2 = 0 + 3

Reorder the terms:
-3 + 3 + m + 2mx + mx2 + -3x + -1x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + m + 2mx + mx2 + -3x + -1x2 = 0 + 3
m + 2mx + mx2 + -3x + -1x2 = 0 + 3

Combine like terms: 0 + 3 = 3
m + 2mx + mx2 + -3x + -1x2 = 3

Add '3x' to each side of the equation.
m + 2mx + mx2 + -3x + 3x + -1x2 = 3 + 3x

Combine like terms: -3x + 3x = 0
m + 2mx + mx2 + 0 + -1x2 = 3 + 3x
m + 2mx + mx2 + -1x2 = 3 + 3x

Add 'x2' to each side of the equation.
m + 2mx + mx2 + -1x2 + x2 = 3 + 3x + x2

Combine like terms: -1x2 + x2 = 0
m + 2mx + mx2 + 0 = 3 + 3x + x2
m + 2mx + mx2 = 3 + 3x + x2

Reorder the terms:
-3 + m + 2mx + mx2 + -3x + -1x2 = 3 + 3x + x2 + -3 + -3x + -1x2

Reorder the terms:
-3 + m + 2mx + mx2 + -3x + -1x2 = 3 + -3 + 3x + -3x + x2 + -1x2

Combine like terms: 3 + -3 = 0
-3 + m + 2mx + mx2 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
-3 + m + 2mx + mx2 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
-3 + m + 2mx + mx2 + -3x + -1x2 = 0 + x2 + -1x2
-3 + m + 2mx + mx2 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + m + 2mx + mx2 + -3x + -1x2 = 0

The solution to this equation could not be determined.

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