Solve for a
a=\frac{x-27}{10}
Solve for x
x=10a+27
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x+5-8a-2a+3=35
Add 3 and 2 to get 5.
x+5-10a+3=35
Combine -8a and -2a to get -10a.
x+8-10a=35
Add 5 and 3 to get 8.
8-10a=35-x
Subtract x from both sides.
-10a=35-x-8
Subtract 8 from both sides.
-10a=27-x
Subtract 8 from 35 to get 27.
\frac{-10a}{-10}=\frac{27-x}{-10}
Divide both sides by -10.
a=\frac{27-x}{-10}
Dividing by -10 undoes the multiplication by -10.
a=\frac{x-27}{10}
Divide 27-x by -10.
x+5-8a-2a+3=35
Add 3 and 2 to get 5.
x+5-10a+3=35
Combine -8a and -2a to get -10a.
x+8-10a=35
Add 5 and 3 to get 8.
x-10a=35-8
Subtract 8 from both sides.
x-10a=27
Subtract 8 from 35 to get 27.
x=27+10a
Add 10a to both sides.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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