Solve 1456.075=x*9.81*sin(17)+x*9.81*cos(17)*0.35+x*0.5

$$1456.075 = x \times 9.81 \times \sin ( 17 ) +x \times 9.81 \times \cos ( 17 ) \times 0.35+x \times 0.5$$

Solve for x

$$x = \frac{3640187500000000000000}{16629097007322824399} = 218\frac{1.5044352403624035 \times 10^{19}}{1.6629097007322824 \times 10^{19}} \approx 218.904700502$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$1456.075 = x \cdot 9.81 \cdot 0.29237170472273677 + x \cdot 9.81 \cdot 0.9563047559630354 \cdot 0.35 + x \cdot 0.5$$

Multiply 9.81 and 0.29237170472273677 to get 2.8681664233300477137.

$$1456.075=x\times 2.8681664233300477137+x\times 9.81\times 0.9563047559630354\times 0.35+x\times 0.5$$

Multiply 9.81 and 0.9563047559630354 to get 9.381349655997377274.

$$1456.075=x\times 2.8681664233300477137+x\times 9.381349655997377274\times 0.35+x\times 0.5$$

Multiply 9.381349655997377274 and 0.35 to get 3.2834723795990820459.

$$1456.075=x\times 2.8681664233300477137+x\times 3.2834723795990820459+x\times 0.5$$

Combine x\times 2.8681664233300477137 and x\times 3.2834723795990820459 to get 6.1516388029291297596x.

$$1456.075=6.1516388029291297596x+x\times 0.5$$

Combine 6.1516388029291297596x and x\times 0.5 to get 6.6516388029291297596x.

$$1456.075=6.6516388029291297596x$$

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

$$6.6516388029291297596x=1456.075$$

Divide both sides by 6.6516388029291297596.

$$x=\frac{1456.075}{6.6516388029291297596}$$

Expand \frac{1456.075}{6.6516388029291297596} by multiplying both numerator and the denominator by 10000000000000000000.

$$x=\frac{14560750000000000000000}{66516388029291297596}$$

Reduce the fraction \frac{14560750000000000000000}{66516388029291297596} to lowest terms by extracting and canceling out 4.

$$x=\frac{3640187500000000000000}{16629097007322824399}$$