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

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


Simplifying
x3 + -1(m + 1) * x2 + (m + -2) * x + 2m = 0

Reorder the terms:
x3 + -1(1 + m) * x2 + (m + -2) * x + 2m = 0

Reorder the terms for easier multiplication:
x3 + -1x2(1 + m) + (m + -2) * x + 2m = 0
x3 + (1 * -1x2 + m * -1x2) + (m + -2) * x + 2m = 0

Reorder the terms:
x3 + (-1mx2 + -1x2) + (m + -2) * x + 2m = 0
x3 + (-1mx2 + -1x2) + (m + -2) * x + 2m = 0

Reorder the terms:
x3 + -1mx2 + -1x2 + (-2 + m) * x + 2m = 0

Reorder the terms for easier multiplication:
x3 + -1mx2 + -1x2 + x(-2 + m) + 2m = 0
x3 + -1mx2 + -1x2 + (-2 * x + m * x) + 2m = 0

Reorder the terms:
x3 + -1mx2 + -1x2 + (mx + -2x) + 2m = 0
x3 + -1mx2 + -1x2 + (mx + -2x) + 2m = 0

Reorder the terms:
2m + mx + -1mx2 + -2x + -1x2 + x3 = 0

Solving
2m + mx + -1mx2 + -2x + -1x2 + x3 = 0

Solving for variable 'm'.

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

Add '2x' to each side of the equation.
2m + mx + -1mx2 + -2x + -1x2 + 2x + x3 = 0 + 2x

Reorder the terms:
2m + mx + -1mx2 + -2x + 2x + -1x2 + x3 = 0 + 2x

Combine like terms: -2x + 2x = 0
2m + mx + -1mx2 + 0 + -1x2 + x3 = 0 + 2x
2m + mx + -1mx2 + -1x2 + x3 = 0 + 2x
Remove the zero:
2m + mx + -1mx2 + -1x2 + x3 = 2x

Add 'x2' to each side of the equation.
2m + mx + -1mx2 + -1x2 + x2 + x3 = 2x + x2

Combine like terms: -1x2 + x2 = 0
2m + mx + -1mx2 + 0 + x3 = 2x + x2
2m + mx + -1mx2 + x3 = 2x + x2

Add '-1x3' to each side of the equation.
2m + mx + -1mx2 + x3 + -1x3 = 2x + x2 + -1x3

Combine like terms: x3 + -1x3 = 0
2m + mx + -1mx2 + 0 = 2x + x2 + -1x3
2m + mx + -1mx2 = 2x + x2 + -1x3

Reorder the terms:
2m + mx + -1mx2 + -2x + -1x2 + x3 = 2x + -2x + x2 + -1x2 + -1x3 + x3

Combine like terms: 2x + -2x = 0
2m + mx + -1mx2 + -2x + -1x2 + x3 = 0 + x2 + -1x2 + -1x3 + x3
2m + mx + -1mx2 + -2x + -1x2 + x3 = x2 + -1x2 + -1x3 + x3

Combine like terms: x2 + -1x2 = 0
2m + mx + -1mx2 + -2x + -1x2 + x3 = 0 + -1x3 + x3
2m + mx + -1mx2 + -2x + -1x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
2m + mx + -1mx2 + -2x + -1x2 + x3 = 0

The solution to this equation could not be determined.

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