Solve -1=x*tan(61)-9.81x/2*cos(61)

$$-1=x \times \tan ( 61 ) - \frac{ 9.81x }{ 2 \times \cos ( 61 ) }$$

Solve for x

$$x=\frac{12120240506158427500000000000000}{100759507321515105883247394937611}\approx 0.120288803$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$-1 = x \cdot 1.8040477552714236 - \frac{9.81 x}{2 \cdot 0.4848096202463371}$$

Multiply 2 and 0.4848096202463371 to get 0.9696192404926742.

$$-1=x\times 1.8040477552714236-\frac{9.81x}{0.9696192404926742}$$

Divide 9.81x by 0.9696192404926742 to get \frac{49050000000000000}{4848096202463371}x.

$$-1=x\times 1.8040477552714236-\frac{49050000000000000}{4848096202463371}x$$

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

$$x\times 1.8040477552714236-\frac{49050000000000000}{4848096202463371}x=-1$$

Combine x\times 1.8040477552714236 and -\frac{49050000000000000}{4848096202463371}x to get -\frac{100759507321515105883247394937611}{12120240506158427500000000000000}x.

$$-\frac{100759507321515105883247394937611}{12120240506158427500000000000000}x=-1$$

Divide both sides by -\frac{100759507321515105883247394937611}{12120240506158427500000000000000}.

$$x=\frac{-1}{-\frac{100759507321515105883247394937611}{12120240506158427500000000000000}}$$