Solve 7k^2-640t+500=0

$$7 k ^ { 2 } - 640 t + 500 = 0$$

Solve for t

$$t=\frac{7k^{2}}{640}+\frac{25}{32}$$

Steps for Solving Linear Equation

Subtract 7k^{2} from both sides. Anything subtracted from zero gives its negation.

$$-640t+500=-7k^{2}$$

Subtract 500 from both sides.

$$-640t=-7k^{2}-500$$

Divide both sides by -640.

$$\frac{-640t}{-640}=\frac{-7k^{2}-500}{-640}$$

Dividing by -640 undoes the multiplication by -640.

$$t=\frac{-7k^{2}-500}{-640}$$

Divide -7k^{2}-500 by -640.

$$t=\frac{7k^{2}}{640}+\frac{25}{32}$$

Solve for k (complex solution)

$$k=-\frac{2\sqrt{1120t-875}}{7}$$

$$k=\frac{2\sqrt{1120t-875}}{7}$$

Solve for k

$$k=\frac{2\sqrt{1120t-875}}{7}$$

$$k=-\frac{2\sqrt{1120t-875}}{7}\text{, }t\geq \frac{25}{32}$$