Solve -5x^2+55t=0

$$- 5 x ^ { 2 } + 55 t = 0$$

Solve for t

$$t=\frac{x^{2}}{11}$$

Steps for Solving Linear Equation

Add 5x^{2} to both sides. Anything plus zero gives itself.

$$55t=5x^{2}$$

Divide both sides by 55.

$$\frac{55t}{55}=\frac{5x^{2}}{55}$$

Dividing by 55 undoes the multiplication by 55.

$$t=\frac{5x^{2}}{55}$$

Divide 5x^{2} by 55.

$$t=\frac{x^{2}}{11}$$

Solve for x (complex solution)

$$x=-\sqrt{11t}$$

$$x=\sqrt{11t}$$

Solve for x

$$x=\sqrt{11t}$$

$$x=-\sqrt{11t}\text{, }t\geq 0$$