x^3-3x^2-kx+12=0

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Solution for x^3-3x^2-kx+12=0 equation:


Simplifying
x3 + -3x2 + -1kx + 12 = 0

Reorder the terms:
12 + -1kx + -3x2 + x3 = 0

Solving
12 + -1kx + -3x2 + x3 = 0

Solving for variable 'k'.

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

Add '-12' to each side of the equation.
12 + -1kx + -3x2 + -12 + x3 = 0 + -12

Reorder the terms:
12 + -12 + -1kx + -3x2 + x3 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1kx + -3x2 + x3 = 0 + -12
-1kx + -3x2 + x3 = 0 + -12

Combine like terms: 0 + -12 = -12
-1kx + -3x2 + x3 = -12

Add '3x2' to each side of the equation.
-1kx + -3x2 + 3x2 + x3 = -12 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-1kx + 0 + x3 = -12 + 3x2
-1kx + x3 = -12 + 3x2

Add '-1x3' to each side of the equation.
-1kx + x3 + -1x3 = -12 + 3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-1kx + 0 = -12 + 3x2 + -1x3
-1kx = -12 + 3x2 + -1x3

Divide each side by '-1x'.
k = 12x-1 + -3x + x2

Simplifying
k = 12x-1 + -3x + x2

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