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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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