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\frac{5x^{2}+6x-\left(39x+14\right)}{x-7}
Since \frac{5x^{2}+6x}{x-7} and \frac{39x+14}{x-7} have the same denominator, subtract them by subtracting their numerators.
\frac{5x^{2}+6x-39x-14}{x-7}
Do the multiplications in 5x^{2}+6x-\left(39x+14\right).
\frac{5x^{2}-33x-14}{x-7}
Combine like terms in 5x^{2}+6x-39x-14.
\frac{\left(x-7\right)\left(5x+2\right)}{x-7}
Factor the expressions that are not already factored in \frac{5x^{2}-33x-14}{x-7}.
5x+2
Cancel out x-7 in both numerator and denominator.
\frac{5x^{2}+6x-\left(39x+14\right)}{x-7}
Since \frac{5x^{2}+6x}{x-7} and \frac{39x+14}{x-7} have the same denominator, subtract them by subtracting their numerators.
\frac{5x^{2}+6x-39x-14}{x-7}
Do the multiplications in 5x^{2}+6x-\left(39x+14\right).
\frac{5x^{2}-33x-14}{x-7}
Combine like terms in 5x^{2}+6x-39x-14.
\frac{\left(x-7\right)\left(5x+2\right)}{x-7}
Factor the expressions that are not already factored in \frac{5x^{2}-33x-14}{x-7}.
5x+2
Cancel out x-7 in both numerator and denominator.
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