Solve 3t^2-6t+c=0

$$3 t ^ { 2 } - 6 t + c = 0$$

Solve for c

$$c=-3t\left(t-2\right)$$

Solution Steps

Subtract 3t^{2} from both sides. Anything subtracted from zero gives its negation.

$$-6t+c=-3t^{2}$$

Add 6t to both sides.

$$c=-3t^{2}+6t$$

Solve for t (complex solution)

$$t=\frac{\sqrt{9-3c}}{3}+1$$

$$t=-\frac{\sqrt{9-3c}}{3}+1$$

Solve for t

$$t=\frac{\sqrt{9-3c}}{3}+1$$

$$t=-\frac{\sqrt{9-3c}}{3}+1\text{, }c\leq 3$$