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

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


Simplifying
x2 + 2x + m + -1 = 0

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

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

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

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

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

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

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

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

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

Simplifying
m = 1 + -2x + -1x2

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