Solve x=4.330127019-11.3670601cos(50)/cos(80)

$$x= \frac{ 4.330127019-11.3670601 \cos ( 50 ) }{ \cos ( 80 ) }$$

Solve for x

$$x = -\frac{148823918592111776040897}{8682408883346520500000} = -17\frac{1.2229675752209357 \times 10^{21}}{8.68240888334652 \times 10^{21}} \approx -17.140855791$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$x = \frac{4.330127019 - 11.3670601 \cdot 0.6427876096865394}{0.17364817766693041}$$

Multiply 11.3670601 and 0.6427876096865394 to get 7.30660539084223552081794.

$$x=\frac{4.330127019-7.30660539084223552081794}{0.17364817766693041}$$

Subtract 7.30660539084223552081794 from 4.330127019 to get -2.97647837184223552081794.

$$x=\frac{-2.97647837184223552081794}{0.17364817766693041}$$

Expand \frac{-2.97647837184223552081794}{0.17364817766693041} by multiplying both numerator and the denominator by 100000000000000000000000.

$$x=\frac{-297647837184223552081794}{17364817766693041000000}$$

Reduce the fraction \frac{-297647837184223552081794}{17364817766693041000000} to lowest terms by extracting and canceling out 2.

$$x=-\frac{148823918592111776040897}{8682408883346520500000}$$

Assign x

$$x≔-\frac{148823918592111776040897}{8682408883346520500000}$$