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

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


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

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

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

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

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

Solving
mx2 + 1x2 = -1 + 2x

Solving for variable 'm'.

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

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

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

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

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

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

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