Solve {173-[47.73+0.1p^1.2+(1750+7825)/p]}P=0

$$\{ 173 - [ 47.73 + 0.1 p ^ { 1.2 } + \frac { ( 1750 + 7825 ) } { p } ] \} P = 0$$

Solve for P (complex solution)

$$\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P\in \mathrm{C}\text{, }&-10p^{2.2}+12527p-957500=0\text{ and }p\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by p.

$$\left(173-\left(47.73+0.1p^{1.2}+\frac{1750+7825}{p}\right)\right)Pp=0$$

Add 1750 and 7825 to get 9575.

$$\left(173-\left(47.73+0.1p^{1.2}+\frac{9575}{p}\right)\right)Pp=0$$

To find the opposite of 47.73+0.1p^{1.2}+\frac{9575}{p}, find the opposite of each term.

$$\left(173-47.73-0.1p^{1.2}-\frac{9575}{p}\right)Pp=0$$

Subtract 47.73 from 173 to get 125.27.

$$\left(125.27-0.1p^{1.2}-\frac{9575}{p}\right)Pp=0$$

Use the distributive property to multiply 125.27-0.1p^{1.2}-\frac{9575}{p} by P.

$$\left(125.27P-0.1p^{1.2}P-\frac{9575}{p}P\right)p=0$$

Express \frac{9575}{p}P as a single fraction.

$$\left(125.27P-0.1p^{1.2}P-\frac{9575P}{p}\right)p=0$$

Use the distributive property to multiply 125.27P-0.1p^{1.2}P-\frac{9575P}{p} by p.

$$125.27Pp-0.1p^{1.2}Pp-\frac{9575P}{p}p=0$$

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

$$125.27Pp-0.1p^{2.2}P-\frac{9575P}{p}p=0$$

Express \frac{9575P}{p}p as a single fraction.

$$125.27Pp-0.1p^{2.2}P-\frac{9575Pp}{p}=0$$

Cancel out p in both numerator and denominator.

$$125.27Pp-0.1p^{2.2}P-9575P=0$$

Combine all terms containing P.

$$\left(125.27p-0.1p^{2.2}-9575\right)P=0$$

The equation is in standard form.

$$\left(-\frac{p^{2.2}}{10}+\frac{12527p}{100}-9575\right)P=0$$

Divide 0 by 125.27p-0.1p^{2.2}-9575.

$$P=0$$

Solve for P

$$\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P\in \mathrm{R}\text{, }&-10p^{2.2}+12527p-957500=0\text{ and }p\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by p.

$$\left(173-\left(47.73+0.1p^{1.2}+\frac{1750+7825}{p}\right)\right)Pp=0$$

Add 1750 and 7825 to get 9575.

$$\left(173-\left(47.73+0.1p^{1.2}+\frac{9575}{p}\right)\right)Pp=0$$

To find the opposite of 47.73+0.1p^{1.2}+\frac{9575}{p}, find the opposite of each term.

$$\left(173-47.73-0.1p^{1.2}-\frac{9575}{p}\right)Pp=0$$

Subtract 47.73 from 173 to get 125.27.

$$\left(125.27-0.1p^{1.2}-\frac{9575}{p}\right)Pp=0$$

Use the distributive property to multiply 125.27-0.1p^{1.2}-\frac{9575}{p} by P.

$$\left(125.27P-0.1p^{1.2}P-\frac{9575}{p}P\right)p=0$$

Express \frac{9575}{p}P as a single fraction.

$$\left(125.27P-0.1p^{1.2}P-\frac{9575P}{p}\right)p=0$$

Use the distributive property to multiply 125.27P-0.1p^{1.2}P-\frac{9575P}{p} by p.

$$125.27Pp-0.1p^{1.2}Pp-\frac{9575P}{p}p=0$$

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

$$125.27Pp-0.1p^{2.2}P-\frac{9575P}{p}p=0$$

Express \frac{9575P}{p}p as a single fraction.

$$125.27Pp-0.1p^{2.2}P-\frac{9575Pp}{p}=0$$

Cancel out p in both numerator and denominator.

$$125.27Pp-0.1p^{2.2}P-9575P=0$$

Combine all terms containing P.

$$\left(125.27p-0.1p^{2.2}-9575\right)P=0$$

The equation is in standard form.

$$\left(-\frac{p^{2.2}}{10}+\frac{12527p}{100}-9575\right)P=0$$

Divide 0 by 125.27p-0.1p^{2.2}-9575.

$$P=0$$