Solve left(173-47.73+0.1p^1.2+1750+7825/pright)P=0

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

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.

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

Subtract 47.73 from 173 to get 125.27.

$$\left(125.27+0.1p^{1.2}+\frac{1750+7825}{p}\right)Pp=0$$

Add 1750 and 7825 to get 9575.

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

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.

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

Subtract 47.73 from 173 to get 125.27.

$$\left(125.27+0.1p^{1.2}+\frac{1750+7825}{p}\right)Pp=0$$

Add 1750 and 7825 to get 9575.

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

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.

$$P=0$$