Solve for a
a=316
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\frac{1}{4}\left(a-32\right)=71
Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.
\frac{1}{4}a+\frac{1}{4}\left(-32\right)=71
Use the distributive property to multiply \frac{1}{4} by a-32.
\frac{1}{4}a+\frac{-32}{4}=71
Multiply \frac{1}{4} and -32 to get \frac{-32}{4}.
\frac{1}{4}a-8=71
Divide -32 by 4 to get -8.
\frac{1}{4}a=71+8
Add 8 to both sides.
\frac{1}{4}a=79
Add 71 and 8 to get 79.
a=79\times 4
Multiply both sides by 4, the reciprocal of \frac{1}{4}.
a=316
Multiply 79 and 4 to get 316.
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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