Solve A^2+3F-10=0

$$A ^ { 2 } + 3 F - 10 = 0$$

Solve for F

$$F=\frac{10-A^{2}}{3}$$

Steps for Solving Linear Equation

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

$$3F-10=-A^{2}$$

Add 10 to both sides.

$$3F=-A^{2}+10$$

The equation is in standard form.

$$3F=10-A^{2}$$

Divide both sides by 3.

$$\frac{3F}{3}=\frac{10-A^{2}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$F=\frac{10-A^{2}}{3}$$

Solve for A

$$A=\sqrt{10-3F}$$

$$A=-\sqrt{10-3F}\text{, }F\leq \frac{10}{3}$$