Solve x^2/4+3k=x

$$\frac { x ^ { 2 } } { 4 } + 3 k = x$$

Solve for k

$$k=-\frac{x\left(x-4\right)}{12}$$

Steps for Solving Linear Equation

Subtract \frac{x^{2}}{4} from both sides.

$$3k=x-\frac{x^{2}}{4}$$

Multiply both sides of the equation by 4.

$$12k=4x-x^{2}$$

Divide both sides by 12.

$$\frac{12k}{12}=\frac{x\left(4-x\right)}{12}$$

Dividing by 12 undoes the multiplication by 12.

$$k=\frac{x\left(4-x\right)}{12}$$

Solve for x (complex solution)

$$x=2\sqrt{1-3k}+2$$

$$x=-2\sqrt{1-3k}+2$$

Solve for x

$$x=2\sqrt{1-3k}+2$$

$$x=-2\sqrt{1-3k}+2\text{, }k\leq \frac{1}{3}$$