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

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


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

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

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

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

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

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

Solving for variable 'm'.

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

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

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

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

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

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

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

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

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

Divide each side by '2x2'.
m = 0.5x-2 + 0.5x-1 + 0.5

Simplifying
m = 0.5x-2 + 0.5x-1 + 0.5

Reorder the terms:
m = 0.5 + 0.5x-2 + 0.5x-1

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