Solve {173-[47.73+01p^12+9075/p]}P=0

$$\{ 173 - [ 47.73 + 01 p ^ { 12 } + \frac { 9075 } { p } ] \} P = 0$$

Solve for P (complex solution)

$$\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P\in \mathrm{C}\text{, }&p=\frac{907500}{12527}\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by p.

$$\left(173-\left(47.73+0\times 1p^{12}+\frac{9075}{p}\right)\right)Pp=0$$

Multiply 0 and 1 to get 0.

$$\left(173-\left(47.73+0p^{12}+\frac{9075}{p}\right)\right)Pp=0$$

Anything times zero gives zero.

$$\left(173-\left(47.73+0+\frac{9075}{p}\right)\right)Pp=0$$

Add 47.73 and 0 to get 47.73.

$$\left(173-\left(47.73+\frac{9075}{p}\right)\right)Pp=0$$

To find the opposite of 47.73+\frac{9075}{p}, find the opposite of each term.

$$\left(173-47.73-\frac{9075}{p}\right)Pp=0$$

Subtract 47.73 from 173 to get 125.27.

$$\left(125.27-\frac{9075}{p}\right)Pp=0$$

Use the distributive property to multiply 125.27-\frac{9075}{p} by P.

$$\left(125.27P-\frac{9075}{p}P\right)p=0$$

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

$$\left(125.27P-\frac{9075P}{p}\right)p=0$$

Use the distributive property to multiply 125.27P-\frac{9075P}{p} by p.

$$125.27Pp-\frac{9075P}{p}p=0$$

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

$$125.27Pp-\frac{9075Pp}{p}=0$$

Cancel out p in both numerator and denominator.

$$125.27Pp-9075P=0$$

Combine all terms containing P.

$$\left(125.27p-9075\right)P=0$$

The equation is in standard form.

$$\left(\frac{12527p}{100}-9075\right)P=0$$

Divide 0 by 125.27p-9075.

$$P=0$$

Solve for P

$$\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P\in \mathrm{R}\text{, }&p=\frac{907500}{12527}\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by p.

$$\left(173-\left(47.73+0\times 1p^{12}+\frac{9075}{p}\right)\right)Pp=0$$

Multiply 0 and 1 to get 0.

$$\left(173-\left(47.73+0p^{12}+\frac{9075}{p}\right)\right)Pp=0$$

Anything times zero gives zero.

$$\left(173-\left(47.73+0+\frac{9075}{p}\right)\right)Pp=0$$

Add 47.73 and 0 to get 47.73.

$$\left(173-\left(47.73+\frac{9075}{p}\right)\right)Pp=0$$

To find the opposite of 47.73+\frac{9075}{p}, find the opposite of each term.

$$\left(173-47.73-\frac{9075}{p}\right)Pp=0$$

Subtract 47.73 from 173 to get 125.27.

$$\left(125.27-\frac{9075}{p}\right)Pp=0$$

Use the distributive property to multiply 125.27-\frac{9075}{p} by P.

$$\left(125.27P-\frac{9075}{p}P\right)p=0$$

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

$$\left(125.27P-\frac{9075P}{p}\right)p=0$$

Use the distributive property to multiply 125.27P-\frac{9075P}{p} by p.

$$125.27Pp-\frac{9075P}{p}p=0$$

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

$$125.27Pp-\frac{9075Pp}{p}=0$$

Cancel out p in both numerator and denominator.

$$125.27Pp-9075P=0$$

Combine all terms containing P.

$$\left(125.27p-9075\right)P=0$$

The equation is in standard form.

$$\left(\frac{12527p}{100}-9075\right)P=0$$

Divide 0 by 125.27p-9075.

$$P=0$$

Solve for p

$$p = \frac{907500}{12527} = 72\frac{5556}{12527} = 72.4435219924962$$

$$p\neq 0$$