x^2-4x+(m-1)=0

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Solution for x^2-4x+(m-1)=0 equation:


Simplifying
x2 + -4x + (m + -1) = 0

Reorder the terms:
x2 + -4x + (-1 + m) = 0

Remove parenthesis around (-1 + m)
x2 + -4x + -1 + m = 0

Reorder the terms:
-1 + m + -4x + x2 = 0

Solving
-1 + m + -4x + 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 + -4x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + m + -4x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + m + -4x + x2 = 0 + 1
m + -4x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
m + -4x + x2 = 1

Add '4x' to each side of the equation.
m + -4x + 4x + x2 = 1 + 4x

Combine like terms: -4x + 4x = 0
m + 0 + x2 = 1 + 4x
m + x2 = 1 + 4x

Add '-1x2' to each side of the equation.
m + x2 + -1x2 = 1 + 4x + -1x2

Combine like terms: x2 + -1x2 = 0
m + 0 = 1 + 4x + -1x2
m = 1 + 4x + -1x2

Simplifying
m = 1 + 4x + -1x2

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