Solve for w
w=-\frac{\omega }{2}+3
Solve for ω
\omega =6-2w
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\omega +5=3-2\left(w-4\right)
Add 2 and 3 to get 5.
\omega +5=3-2w+8
Use the distributive property to multiply -2 by w-4.
\omega +5=11-2w
Add 3 and 8 to get 11.
11-2w=\omega +5
Swap sides so that all variable terms are on the left hand side.
-2w=\omega +5-11
Subtract 11 from both sides.
-2w=\omega -6
Subtract 11 from 5 to get -6.
\frac{-2w}{-2}=\frac{\omega -6}{-2}
Divide both sides by -2.
w=\frac{\omega -6}{-2}
Dividing by -2 undoes the multiplication by -2.
w=-\frac{\omega }{2}+3
Divide \omega -6 by -2.
\omega +5=3-2\left(w-4\right)
Add 2 and 3 to get 5.
\omega +5=3-2w+8
Use the distributive property to multiply -2 by w-4.
\omega +5=11-2w
Add 3 and 8 to get 11.
\omega =11-2w-5
Subtract 5 from both sides.
\omega =6-2w
Subtract 5 from 11 to get 6.
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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