Solve 0=x*cos(9*46)-65*1

$$0 = x \cdot \cos ( 9 \cdot 46 ) - 65 \cdot 1$$

Solve for x

$$x = \frac{32500000000000000}{293892626146237} = 110\frac{171811123913930}{293892626146237} \approx 110.584605086$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0 = x \cdot 0.587785252292474 - 65 \cdot 1$$

Multiply 65 and 1 to get 65.

$$0=x\times 0.587785252292474-65$$

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

$$x\times 0.587785252292474-65=0$$

Add 65 to both sides. Anything plus zero gives itself.

$$x\times 0.587785252292474=65$$

Divide both sides by 0.587785252292474.

$$x=\frac{65}{0.587785252292474}$$

Expand \frac{65}{0.587785252292474} by multiplying both numerator and the denominator by 1000000000000000.

$$x=\frac{65000000000000000}{587785252292474}$$

Reduce the fraction \frac{65000000000000000}{587785252292474} to lowest terms by extracting and canceling out 2.

$$x=\frac{32500000000000000}{293892626146237}$$