Solve {173-[4773+01p^12+(1750+7825)/p]}P=0

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

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.

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

Multiply 0 and 1 to get 0.

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

Anything times zero gives zero.

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

Add 4773 and 0 to get 4773.

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

Add 1750 and 7825 to get 9575.

$$\left(173-\left(4773+\frac{9575}{p}\right)\right)Pp=0$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4773 times \frac{p}{p}.

$$\left(173-\left(\frac{4773p}{p}+\frac{9575}{p}\right)\right)Pp=0$$

Since \frac{4773p}{p} and \frac{9575}{p} have the same denominator, add them by adding their numerators.

$$\left(173-\frac{4773p+9575}{p}\right)Pp=0$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 173 times \frac{p}{p}.

$$\left(\frac{173p}{p}-\frac{4773p+9575}{p}\right)Pp=0$$

Since \frac{173p}{p} and \frac{4773p+9575}{p} have the same denominator, subtract them by subtracting their numerators.

$$\frac{173p-\left(4773p+9575\right)}{p}Pp=0$$

Do the multiplications in 173p-\left(4773p+9575\right).

$$\frac{173p-4773p-9575}{p}Pp=0$$

Combine like terms in 173p-4773p-9575.

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

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.

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

Divide 0 by -4600p-9575.

$$P=0$$

Solve for p

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