Solve -4x^2+px-p=0

$$-4 { x }^{ 2 } +px-p=0$$

Solve for p

$$p=\frac{4x^{2}}{x-1}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Add 4x^{2} to both sides. Anything plus zero gives itself.

$$px-p=4x^{2}$$

Combine all terms containing p.

$$\left(x-1\right)p=4x^{2}$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)p}{x-1}=\frac{4x^{2}}{x-1}$$

Dividing by x-1 undoes the multiplication by x-1.

$$p=\frac{4x^{2}}{x-1}$$

Solve for x (complex solution)

$$x=\frac{-\sqrt{p\left(p-16\right)}+p}{8}$$

$$x=\frac{\sqrt{p\left(p-16\right)}+p}{8}$$

Solve for x

$$x=\frac{-\sqrt{p\left(p-16\right)}+p}{8}$$

$$x=\frac{\sqrt{p\left(p-16\right)}+p}{8}\text{, }p\geq 16\text{ or }p\leq 0$$