Solve 10=-16t^2+85x+4

$$10 = - 16 t ^ { 2 } + 85 x + 4$$

Solve for x

$$x=\frac{16t^{2}+6}{85}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$-16t^{2}+85x+4=10$$

Add 16t^{2} to both sides.

$$85x+4=10+16t^{2}$$

Subtract 4 from both sides.

$$85x=10+16t^{2}-4$$

Subtract 4 from 10 to get 6.

$$85x=6+16t^{2}$$

The equation is in standard form.

$$85x=16t^{2}+6$$

Divide both sides by 85.

$$\frac{85x}{85}=\frac{16t^{2}+6}{85}$$

Dividing by 85 undoes the multiplication by 85.

$$x=\frac{16t^{2}+6}{85}$$

Solve for t (complex solution)

$$t=-\frac{\sqrt{85x-6}}{4}$$

$$t=\frac{\sqrt{85x-6}}{4}$$

Solve for t

$$t=\frac{\sqrt{85x-6}}{4}$$

$$t=-\frac{\sqrt{85x-6}}{4}\text{, }x\geq \frac{6}{85}$$