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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.