2x^3-3x^2-12x-12(m-2)=0

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Solution for 2x^3-3x^2-12x-12(m-2)=0 equation: 


Simplifying
2x3 + -3x2 + -12x + -12(m + -2) = 0

Reorder the terms:
2x3 + -3x2 + -12x + -12(-2 + m) = 0
2x3 + -3x2 + -12x + (-2 * -12 + m * -12) = 0
2x3 + -3x2 + -12x + (24 + -12m) = 0

Reorder the terms:
24 + -12m + -12x + -3x2 + 2x3 = 0

Solving
24 + -12m + -12x + -3x2 + 2x3 = 0

Solving for variable 'm'.

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

Add '-24' to each side of the equation.
24 + -12m + -12x + -3x2 + -24 + 2x3 = 0 + -24

Reorder the terms:
24 + -24 + -12m + -12x + -3x2 + 2x3 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -12m + -12x + -3x2 + 2x3 = 0 + -24
-12m + -12x + -3x2 + 2x3 = 0 + -24

Combine like terms: 0 + -24 = -24
-12m + -12x + -3x2 + 2x3 = -24

Add '12x' to each side of the equation.
-12m + -12x + -3x2 + 12x + 2x3 = -24 + 12x

Reorder the terms:
-12m + -12x + 12x + -3x2 + 2x3 = -24 + 12x

Combine like terms: -12x + 12x = 0
-12m + 0 + -3x2 + 2x3 = -24 + 12x
-12m + -3x2 + 2x3 = -24 + 12x

Add '3x2' to each side of the equation.
-12m + -3x2 + 3x2 + 2x3 = -24 + 12x + 3x2

Combine like terms: -3x2 + 3x2 = 0
-12m + 0 + 2x3 = -24 + 12x + 3x2
-12m + 2x3 = -24 + 12x + 3x2

Add '-2x3' to each side of the equation.
-12m + 2x3 + -2x3 = -24 + 12x + 3x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-12m + 0 = -24 + 12x + 3x2 + -2x3
-12m = -24 + 12x + 3x2 + -2x3

Divide each side by '-12'.
m = 2 + -1x + -0.25x2 + 0.1666666667x3

Simplifying
m = 2 + -1x + -0.25x2 + 0.1666666667x3

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