x^3-(m+3)x^2+(2m+10)x-11-m=0

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Solution for x^3-(m+3)x^2+(2m+10)x-11-m=0 equation:


Simplifying
x3 + -1(m + 3) * x2 + (2m + 10) * x + -11 + -1m = 0

Reorder the terms:
x3 + -1(3 + m) * x2 + (2m + 10) * x + -11 + -1m = 0

Reorder the terms for easier multiplication:
x3 + -1x2(3 + m) + (2m + 10) * x + -11 + -1m = 0
x3 + (3 * -1x2 + m * -1x2) + (2m + 10) * x + -11 + -1m = 0

Reorder the terms:
x3 + (-1mx2 + -3x2) + (2m + 10) * x + -11 + -1m = 0
x3 + (-1mx2 + -3x2) + (2m + 10) * x + -11 + -1m = 0

Reorder the terms:
x3 + -1mx2 + -3x2 + (10 + 2m) * x + -11 + -1m = 0

Reorder the terms for easier multiplication:
x3 + -1mx2 + -3x2 + x(10 + 2m) + -11 + -1m = 0
x3 + -1mx2 + -3x2 + (10 * x + 2m * x) + -11 + -1m = 0

Reorder the terms:
x3 + -1mx2 + -3x2 + (2mx + 10x) + -11 + -1m = 0
x3 + -1mx2 + -3x2 + (2mx + 10x) + -11 + -1m = 0

Reorder the terms:
-11 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 0

Solving
-11 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 0

Solving for variable 'm'.

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

Add '11' to each side of the equation.
-11 + -1m + 2mx + -1mx2 + 10x + -3x2 + 11 + x3 = 0 + 11

Reorder the terms:
-11 + 11 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 0 + 11
-1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 0 + 11

Combine like terms: 0 + 11 = 11
-1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 11

Add '-10x' to each side of the equation.
-1m + 2mx + -1mx2 + 10x + -3x2 + -10x + x3 = 11 + -10x

Reorder the terms:
-1m + 2mx + -1mx2 + 10x + -10x + -3x2 + x3 = 11 + -10x

Combine like terms: 10x + -10x = 0
-1m + 2mx + -1mx2 + 0 + -3x2 + x3 = 11 + -10x
-1m + 2mx + -1mx2 + -3x2 + x3 = 11 + -10x

Add '3x2' to each side of the equation.
-1m + 2mx + -1mx2 + -3x2 + 3x2 + x3 = 11 + -10x + 3x2

Combine like terms: -3x2 + 3x2 = 0
-1m + 2mx + -1mx2 + 0 + x3 = 11 + -10x + 3x2
-1m + 2mx + -1mx2 + x3 = 11 + -10x + 3x2

Add '-1x3' to each side of the equation.
-1m + 2mx + -1mx2 + x3 + -1x3 = 11 + -10x + 3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-1m + 2mx + -1mx2 + 0 = 11 + -10x + 3x2 + -1x3
-1m + 2mx + -1mx2 = 11 + -10x + 3x2 + -1x3

Reorder the terms:
-11 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 11 + -10x + 3x2 + -1x3 + -11 + 10x + -3x2 + x3

Reorder the terms:
-11 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 11 + -11 + -10x + 10x + 3x2 + -3x2 + -1x3 + x3

Combine like terms: 11 + -11 = 0
-11 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 0 + -10x + 10x + 3x2 + -3x2 + -1x3 + x3
-11 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = -10x + 10x + 3x2 + -3x2 + -1x3 + x3

Combine like terms: -10x + 10x = 0
-11 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 0 + 3x2 + -3x2 + -1x3 + x3
-11 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 3x2 + -3x2 + -1x3 + x3

Combine like terms: 3x2 + -3x2 = 0
-11 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 0 + -1x3 + x3
-11 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-11 + -1m + 2mx + -1mx2 + 10x + -3x2 + x3 = 0

The solution to this equation could not be determined.

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