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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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