x^2+(m-1)x+3=0

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Solution for x^2+(m-1)x+3=0 equation:


Simplifying
x2 + (m + -1) * x + 3 = 0

Reorder the terms:
x2 + (-1 + m) * x + 3 = 0

Reorder the terms for easier multiplication:
x2 + x(-1 + m) + 3 = 0
x2 + (-1 * x + m * x) + 3 = 0

Reorder the terms:
x2 + (mx + -1x) + 3 = 0
x2 + (mx + -1x) + 3 = 0

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

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

Solving for variable 'm'.

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

Add '-3' to each side of the equation.
3 + mx + -1x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + mx + -1x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + mx + -1x + x2 = 0 + -3
mx + -1x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
mx + -1x + x2 = -3

Add 'x' to each side of the equation.
mx + -1x + x + x2 = -3 + x

Combine like terms: -1x + x = 0
mx + 0 + x2 = -3 + x
mx + x2 = -3 + x

Add '-1x2' to each side of the equation.
mx + x2 + -1x2 = -3 + x + -1x2

Combine like terms: x2 + -1x2 = 0
mx + 0 = -3 + x + -1x2
mx = -3 + x + -1x2

Divide each side by 'x'.
m = -3x-1 + 1 + -1x

Simplifying
m = -3x-1 + 1 + -1x

Reorder the terms:
m = 1 + -3x-1 + -1x

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