Solve {173-[147.73+0.1p^1.2+(1750+7325)/p]}P=0

$$\{ 173 - [ 147.73 + 0.1 p ^ { 1.2 } + \frac { ( 1750 + 7325 ) } { p } ] \} P = 0$$

Solve for P (complex solution)

$$\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P\in \mathrm{C}\text{, }&-10p^{2.2}+2527p-907500=0\text{ and }p\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by p.

$$\left(173-\left(147.73+0.1p^{1.2}+\frac{1750+7325}{p}\right)\right)Pp=0$$

Add 1750 and 7325 to get 9075.

$$\left(173-\left(147.73+0.1p^{1.2}+\frac{9075}{p}\right)\right)Pp=0$$

To find the opposite of 147.73+0.1p^{1.2}+\frac{9075}{p}, find the opposite of each term.

$$\left(173-147.73-0.1p^{1.2}-\frac{9075}{p}\right)Pp=0$$

Subtract 147.73 from 173 to get 25.27.

$$\left(25.27-0.1p^{1.2}-\frac{9075}{p}\right)Pp=0$$

Use the distributive property to multiply 25.27-0.1p^{1.2}-\frac{9075}{p} by P.

$$\left(25.27P-0.1p^{1.2}P-\frac{9075}{p}P\right)p=0$$

Express \frac{9075}{p}P as a single fraction.

$$\left(25.27P-0.1p^{1.2}P-\frac{9075P}{p}\right)p=0$$

Use the distributive property to multiply 25.27P-0.1p^{1.2}P-\frac{9075P}{p} by p.

$$25.27Pp-0.1p^{1.2}Pp-\frac{9075P}{p}p=0$$

To multiply powers of the same base, add their exponents. Add 1.2 and 1 to get 2.2.

$$25.27Pp-0.1p^{2.2}P-\frac{9075P}{p}p=0$$

Express \frac{9075P}{p}p as a single fraction.

$$25.27Pp-0.1p^{2.2}P-\frac{9075Pp}{p}=0$$

Cancel out p in both numerator and denominator.

$$25.27Pp-0.1p^{2.2}P-9075P=0$$

Combine all terms containing P.

$$\left(25.27p-0.1p^{2.2}-9075\right)P=0$$

The equation is in standard form.

$$\left(-\frac{p^{2.2}}{10}+\frac{2527p}{100}-9075\right)P=0$$

Divide 0 by 25.27p-0.1p^{2.2}-9075.

$$P=0$$

Solve for P

$$\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P\in \mathrm{R}\text{, }&-10p^{2.2}+2527p-907500=0\text{ and }p\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by p.

$$\left(173-\left(147.73+0.1p^{1.2}+\frac{1750+7325}{p}\right)\right)Pp=0$$

Add 1750 and 7325 to get 9075.

$$\left(173-\left(147.73+0.1p^{1.2}+\frac{9075}{p}\right)\right)Pp=0$$

To find the opposite of 147.73+0.1p^{1.2}+\frac{9075}{p}, find the opposite of each term.

$$\left(173-147.73-0.1p^{1.2}-\frac{9075}{p}\right)Pp=0$$

Subtract 147.73 from 173 to get 25.27.

$$\left(25.27-0.1p^{1.2}-\frac{9075}{p}\right)Pp=0$$

Use the distributive property to multiply 25.27-0.1p^{1.2}-\frac{9075}{p} by P.

$$\left(25.27P-0.1p^{1.2}P-\frac{9075}{p}P\right)p=0$$

Express \frac{9075}{p}P as a single fraction.

$$\left(25.27P-0.1p^{1.2}P-\frac{9075P}{p}\right)p=0$$

Use the distributive property to multiply 25.27P-0.1p^{1.2}P-\frac{9075P}{p} by p.

$$25.27Pp-0.1p^{1.2}Pp-\frac{9075P}{p}p=0$$

To multiply powers of the same base, add their exponents. Add 1.2 and 1 to get 2.2.

$$25.27Pp-0.1p^{2.2}P-\frac{9075P}{p}p=0$$

Express \frac{9075P}{p}p as a single fraction.

$$25.27Pp-0.1p^{2.2}P-\frac{9075Pp}{p}=0$$

Cancel out p in both numerator and denominator.

$$25.27Pp-0.1p^{2.2}P-9075P=0$$

Combine all terms containing P.

$$\left(25.27p-0.1p^{2.2}-9075\right)P=0$$

The equation is in standard form.

$$\left(-\frac{p^{2.2}}{10}+\frac{2527p}{100}-9075\right)P=0$$

Divide 0 by 25.27p-0.1p^{2.2}-9075.

$$P=0$$