2x^3+3x^2-mx-6=0

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Solution for 2x^3+3x^2-mx-6=0 equation:


Simplifying
2x3 + 3x2 + -1mx + -6 = 0

Reorder the terms:
-6 + -1mx + 3x2 + 2x3 = 0

Solving
-6 + -1mx + 3x2 + 2x3 = 0

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + -1mx + 3x2 + 6 + 2x3 = 0 + 6

Reorder the terms:
-6 + 6 + -1mx + 3x2 + 2x3 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1mx + 3x2 + 2x3 = 0 + 6
-1mx + 3x2 + 2x3 = 0 + 6

Combine like terms: 0 + 6 = 6
-1mx + 3x2 + 2x3 = 6

Add '-3x2' to each side of the equation.
-1mx + 3x2 + -3x2 + 2x3 = 6 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1mx + 0 + 2x3 = 6 + -3x2
-1mx + 2x3 = 6 + -3x2

Add '-2x3' to each side of the equation.
-1mx + 2x3 + -2x3 = 6 + -3x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-1mx + 0 = 6 + -3x2 + -2x3
-1mx = 6 + -3x2 + -2x3

Divide each side by '-1x'.
m = -6x-1 + 3x + 2x2

Simplifying
m = -6x-1 + 3x + 2x2

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