Solve A=C3sqrt{2}-2)^2-9

$$A = C 3 \sqrt { 2 } - 2 ) ^ { 2 } - 9$$

Solve for C_3

$$C_{3}=\frac{\sqrt{2}\left(A+2\right)}{2}$$

Steps for Solving Linear Equation

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

$$C_{3}\sqrt{2}-2=A$$

Add 2 to both sides.

$$C_{3}\sqrt{2}=A+2$$

The equation is in standard form.

$$\sqrt{2}C_{3}=A+2$$

Divide both sides by \sqrt{2}.

$$\frac{\sqrt{2}C_{3}}{\sqrt{2}}=\frac{A+2}{\sqrt{2}}$$

Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.

$$C_{3}=\frac{A+2}{\sqrt{2}}$$

Divide A+2 by \sqrt{2}.

$$C_{3}=\frac{\sqrt{2}\left(A+2\right)}{2}$$

Solve for A

$$A=\sqrt{2}C_{3}-2$$