Solve 10=quadomega(1.6729)+(1-omega)(0.001044)

$$10 = \quad \omega ( 1.6729 ) + ( 1 - \omega ) ( 0.001044 )$$

Solve for ω

$$\omega =\frac{2499739}{417964}\approx 5.980751931$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1-\omega by 0.001044.

$$10=\omega \times 1.6729+0.001044-0.001044\omega$$

Combine \omega \times 1.6729 and -0.001044\omega to get 1.671856\omega .

$$10=1.671856\omega +0.001044$$

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

$$1.671856\omega +0.001044=10$$

Subtract 0.001044 from both sides.

$$1.671856\omega =10-0.001044$$

Subtract 0.001044 from 10 to get 9.998956.

$$1.671856\omega =9.998956$$

Divide both sides by 1.671856.

$$\omega =\frac{9.998956}{1.671856}$$

Expand \frac{9.998956}{1.671856} by multiplying both numerator and the denominator by 1000000.

$$\omega =\frac{9998956}{1671856}$$

Reduce the fraction \frac{9998956}{1671856} to lowest terms by extracting and canceling out 4.

$$\omega =\frac{2499739}{417964}$$