Evaluate
\frac{x-6}{3x+16}
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\frac{x-6}{3x+16}
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\frac{\left(x-6\right)\left(-10+6\right)}{-10^{2}-12x+36}
Divide x-6 by \frac{-10^{2}-12x+36}{-10+6} by multiplying x-6 by the reciprocal of \frac{-10^{2}-12x+36}{-10+6}.
\frac{\left(x-6\right)\left(-4\right)}{-10^{2}-12x+36}
Add -10 and 6 to get -4.
\frac{\left(x-6\right)\left(-4\right)}{-100-12x+36}
Calculate 10 to the power of 2 and get 100.
\frac{\left(x-6\right)\left(-4\right)}{-64-12x}
Add -100 and 36 to get -64.
\frac{-4\left(x-6\right)}{4\left(-3x-16\right)}
Factor the expressions that are not already factored.
\frac{-\left(x-6\right)}{-3x-16}
Cancel out 4 in both numerator and denominator.
\frac{-x+6}{-3x-16}
Expand the expression.
\frac{\left(x-6\right)\left(-10+6\right)}{-10^{2}-12x+36}
Divide x-6 by \frac{-10^{2}-12x+36}{-10+6} by multiplying x-6 by the reciprocal of \frac{-10^{2}-12x+36}{-10+6}.
\frac{\left(x-6\right)\left(-4\right)}{-10^{2}-12x+36}
Add -10 and 6 to get -4.
\frac{\left(x-6\right)\left(-4\right)}{-100-12x+36}
Calculate 10 to the power of 2 and get 100.
\frac{\left(x-6\right)\left(-4\right)}{-64-12x}
Add -100 and 36 to get -64.
\frac{-4\left(x-6\right)}{4\left(-3x-16\right)}
Factor the expressions that are not already factored.
\frac{-\left(x-6\right)}{-3x-16}
Cancel out 4 in both numerator and denominator.
\frac{-x+6}{-3x-16}
Expand the expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}