Solve left(173-4773+01p^12+1750+7825/pright)P=0

$$\left( 173-4773+01 { p }^{ 12 } + \frac{ 1750+7825 }{ p } \right) P = 0$$

Solve for P

$$\left\{\begin{matrix}P=0\text{, }&p\neq 0\\P\in \mathrm{R}\text{, }&p=\frac{383}{184}\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by p.

$$\left(173-4773+0\times 1p^{12}+\frac{1750+7825}{p}\right)Pp=0$$

Subtract 4773 from 173 to get -4600.

$$\left(-4600+0\times 1p^{12}+\frac{1750+7825}{p}\right)Pp=0$$

Multiply 0 and 1 to get 0.

$$\left(-4600+0p^{12}+\frac{1750+7825}{p}\right)Pp=0$$

Anything times zero gives zero.

$$\left(-4600+0+\frac{1750+7825}{p}\right)Pp=0$$

Add -4600 and 0 to get -4600.

$$\left(-4600+\frac{1750+7825}{p}\right)Pp=0$$

Add 1750 and 7825 to get 9575.

$$\left(-4600+\frac{9575}{p}\right)Pp=0$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -4600 times \frac{p}{p}.

$$\left(-\frac{4600p}{p}+\frac{9575}{p}\right)Pp=0$$

Since -\frac{4600p}{p} and \frac{9575}{p} have the same denominator, add them by adding their numerators.

$$\frac{-4600p+9575}{p}Pp=0$$

Express \frac{-4600p+9575}{p}P as a single fraction.

$$\frac{\left(-4600p+9575\right)P}{p}p=0$$

Express \frac{\left(-4600p+9575\right)P}{p}p as a single fraction.

$$\frac{\left(-4600p+9575\right)Pp}{p}=0$$

Cancel out p in both numerator and denominator.

$$P\left(-4600p+9575\right)=0$$

Use the distributive property to multiply P by -4600p+9575.

$$-4600Pp+9575P=0$$

Combine all terms containing P.

$$\left(-4600p+9575\right)P=0$$

The equation is in standard form.

$$\left(9575-4600p\right)P=0$$

Divide 0 by -4600p+9575.

$$P=0$$

Solve for p

$$\left\{\begin{matrix}\\p=\frac{383}{184}\text{, }&\text{unconditionally}\\p\neq 0\text{, }&P=0\end{matrix}\right.$$