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

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


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

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

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

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

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

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

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

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

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

Solving for variable 'm'.

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

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

Combine like terms: 1x + -1x = 0
m + 2mx + mx2 + 0 + -2x2 = 0 + -1x
m + 2mx + mx2 + -2x2 = 0 + -1x
Remove the zero:
m + 2mx + mx2 + -2x2 = -1x

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

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

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

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

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

The solution to this equation could not be determined.

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