Evaluate
x_{2} = \frac{45}{7} = 6\frac{3}{7} = 6.428571428571429
Factor
\frac{7x_{2}+45}{7}
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x_{2}+\frac{5\times 2}{7}+5
Express \frac{5}{7}\times 2 as a single fraction.
x_{2}+\frac{10}{7}+5
Multiply 5 and 2 to get 10.
x_{2}+\frac{10}{7}+\frac{35}{7}
Convert 5 to fraction \frac{35}{7}.
x_{2}+\frac{10+35}{7}
Since \frac{10}{7} and \frac{35}{7} have the same denominator, add them by adding their numerators.
x_{2}+\frac{45}{7}
Add 10 and 35 to get 45.
\frac{7x_{2}+45}{7}
Factor out \frac{1}{7}.
7x_{2}+45
Consider 7x_{2}+10+35. Multiply and combine like terms.
\frac{7x_{2}+45}{7}
Rewrite the complete factored expression.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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