Solve x^3-57x^2+kx-6783=0

$$x ^ { 3 } - 57 x ^ { 2 } + k x - 6783 = 0$$

Solve for k

$$k=-x^{2}+57x+\frac{6783}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract x^{3} from both sides. Anything subtracted from zero gives its negation.

$$-57x^{2}+kx-6783=-x^{3}$$

Add 57x^{2} to both sides.

$$kx-6783=-x^{3}+57x^{2}$$

Add 6783 to both sides.

$$kx=-x^{3}+57x^{2}+6783$$

The equation is in standard form.

$$xk=6783+57x^{2}-x^{3}$$

Divide both sides by x.

$$\frac{xk}{x}=\frac{6783+57x^{2}-x^{3}}{x}$$

Dividing by x undoes the multiplication by x.

$$k=\frac{6783+57x^{2}-x^{3}}{x}$$

Divide -x^{3}+57x^{2}+6783 by x.

$$k=-x^{2}+57x+\frac{6783}{x}$$