Solve 6t-x^2=24

$$6 t - x ^ { 2 } = 24$$

Solve for t

$$t=\frac{x^{2}+24}{6}$$

Steps for Solving Linear Equation

Add x^{2} to both sides.

$$6t=24+x^{2}$$

The equation is in standard form.

$$6t=x^{2}+24$$

Divide both sides by 6.

$$\frac{6t}{6}=\frac{x^{2}+24}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$t=\frac{x^{2}+24}{6}$$

Divide 24+x^{2} by 6.

$$t=\frac{x^{2}}{6}+4$$

Solve for x (complex solution)

$$x=-\sqrt{6\left(t-4\right)}$$

$$x=\sqrt{6\left(t-4\right)}$$

Solve for x

$$x=\sqrt{6\left(t-4\right)}$$

$$x=-\sqrt{6\left(t-4\right)}\text{, }t\geq 4$$