Solve 0=operatorname{arcos}(55^2+76^2+93*812/2(55)(76)

$$0 = \operatorname { arcos } ( \frac { 55 ^ { 2 } + 76 ^ { 2 } + 93 \cdot 812 } { 2 ( 55 ) ( 76 ) }$$

Solve for a (complex solution)

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&r=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 55 to the power of 2 and get 3025.

$$0=ar\cos(\frac{3025+76^{2}+93\times 812}{2\times 55\times 76})$$

Calculate 76 to the power of 2 and get 5776.

$$0=ar\cos(\frac{3025+5776+93\times 812}{2\times 55\times 76})$$

Add 3025 and 5776 to get 8801.

$$0=ar\cos(\frac{8801+93\times 812}{2\times 55\times 76})$$

Multiply 93 and 812 to get 75516.

$$0=ar\cos(\frac{8801+75516}{2\times 55\times 76})$$

Add 8801 and 75516 to get 84317.

$$0=ar\cos(\frac{84317}{2\times 55\times 76})$$

Multiply 2 and 55 to get 110.

$$0=ar\cos(\frac{84317}{110\times 76})$$

Multiply 110 and 76 to get 8360.

$$0=ar\cos(\frac{84317}{8360})$$

Swap sides so that all variable terms are on the left hand side.

$$ar\cos(\frac{84317}{8360})=0$$

The equation is in standard form.

$$\cos(\frac{84317}{8360})ra=0$$

Divide 0 by r\cos(\frac{84317}{8360}).

$$a=0$$

Solve for r (complex solution)

$$\left\{\begin{matrix}\\r=0\text{, }&\text{unconditionally}\\r\in \mathrm{C}\text{, }&a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 55 to the power of 2 and get 3025.

$$0=ar\cos(\frac{3025+76^{2}+93\times 812}{2\times 55\times 76})$$

Calculate 76 to the power of 2 and get 5776.

$$0=ar\cos(\frac{3025+5776+93\times 812}{2\times 55\times 76})$$

Add 3025 and 5776 to get 8801.

$$0=ar\cos(\frac{8801+93\times 812}{2\times 55\times 76})$$

Multiply 93 and 812 to get 75516.

$$0=ar\cos(\frac{8801+75516}{2\times 55\times 76})$$

Add 8801 and 75516 to get 84317.

$$0=ar\cos(\frac{84317}{2\times 55\times 76})$$

Multiply 2 and 55 to get 110.

$$0=ar\cos(\frac{84317}{110\times 76})$$

Multiply 110 and 76 to get 8360.

$$0=ar\cos(\frac{84317}{8360})$$

Swap sides so that all variable terms are on the left hand side.

$$ar\cos(\frac{84317}{8360})=0$$

The equation is in standard form.

$$\cos(\frac{84317}{8360})ar=0$$

Divide 0 by a\cos(\frac{84317}{8360}).

$$r=0$$

Solve for a

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&r=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 55 to the power of 2 and get 3025.

$$0=ar\cos(\frac{3025+76^{2}+93\times 812}{2\times 55\times 76})$$

Calculate 76 to the power of 2 and get 5776.

$$0=ar\cos(\frac{3025+5776+93\times 812}{2\times 55\times 76})$$

Add 3025 and 5776 to get 8801.

$$0=ar\cos(\frac{8801+93\times 812}{2\times 55\times 76})$$

Multiply 93 and 812 to get 75516.

$$0=ar\cos(\frac{8801+75516}{2\times 55\times 76})$$

Add 8801 and 75516 to get 84317.

$$0=ar\cos(\frac{84317}{2\times 55\times 76})$$

Multiply 2 and 55 to get 110.

$$0=ar\cos(\frac{84317}{110\times 76})$$

Multiply 110 and 76 to get 8360.

$$0=ar\cos(\frac{84317}{8360})$$

Swap sides so that all variable terms are on the left hand side.

$$ar\cos(\frac{84317}{8360})=0$$

The equation is in standard form.

$$\cos(\frac{84317}{8360})ra=0$$

Divide 0 by r\cos(\frac{84317}{8360}).

$$a=0$$

Solve for r

$$\left\{\begin{matrix}\\r=0\text{, }&\text{unconditionally}\\r\in \mathrm{R}\text{, }&a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 55 to the power of 2 and get 3025.

$$0=ar\cos(\frac{3025+76^{2}+93\times 812}{2\times 55\times 76})$$

Calculate 76 to the power of 2 and get 5776.

$$0=ar\cos(\frac{3025+5776+93\times 812}{2\times 55\times 76})$$

Add 3025 and 5776 to get 8801.

$$0=ar\cos(\frac{8801+93\times 812}{2\times 55\times 76})$$

Multiply 93 and 812 to get 75516.

$$0=ar\cos(\frac{8801+75516}{2\times 55\times 76})$$

Add 8801 and 75516 to get 84317.

$$0=ar\cos(\frac{84317}{2\times 55\times 76})$$

Multiply 2 and 55 to get 110.

$$0=ar\cos(\frac{84317}{110\times 76})$$

Multiply 110 and 76 to get 8360.

$$0=ar\cos(\frac{84317}{8360})$$

Swap sides so that all variable terms are on the left hand side.

$$ar\cos(\frac{84317}{8360})=0$$

The equation is in standard form.

$$\cos(\frac{84317}{8360})ar=0$$

Divide 0 by a\cos(\frac{84317}{8360}).

$$r=0$$