Solve 7a*24a/2=P

$$\frac { 7 a \times 24 a } { 2 } = P$$

Solve for P

$$P=84a^{2}$$

Solution Steps

Multiply a and a to get a^{2}.

$$\frac{7a^{2}\times 24}{2}=P$$

Multiply 7 and 24 to get 168.

$$\frac{168a^{2}}{2}=P$$

Divide 168a^{2} by 2 to get 84a^{2}.

$$84a^{2}=P$$

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

$$P=84a^{2}$$

Solve for a (complex solution)

$$a=-\frac{\sqrt{21P}}{42}$$

$$a=\frac{\sqrt{21P}}{42}$$

Solve for a

$$a=\frac{\sqrt{21P}}{42}$$

$$a=-\frac{\sqrt{21P}}{42}\text{, }P\geq 0$$