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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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