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

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


Simplifying
mx2 + -1(2m + -1) * x + m + -2 = 0

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

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

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

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

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

Solving for variable 'm'.

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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