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

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


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

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

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

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

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

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

Solving for variable 'm'.

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

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

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

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

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

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

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

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

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

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

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

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

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