Evaluate
-6x+\frac{5}{2}+\frac{5}{2x}
Expand
-6x+\frac{5}{2}+\frac{5}{2x}
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\frac{5x-12x^{2}+5}{2x}
Combine 5x and -3x to get 2x.
\frac{-12\left(x-\left(-\frac{1}{24}\sqrt{265}+\frac{5}{24}\right)\right)\left(x-\left(\frac{1}{24}\sqrt{265}+\frac{5}{24}\right)\right)}{2x}
Factor the expressions that are not already factored.
\frac{-6\left(x-\left(-\frac{1}{24}\sqrt{265}+\frac{5}{24}\right)\right)\left(x-\left(\frac{1}{24}\sqrt{265}+\frac{5}{24}\right)\right)}{x}
Cancel out 2 in both numerator and denominator.
\frac{-6x^{2}+\frac{5}{2}x+\frac{5}{2}}{x}
Expand the expression.
\frac{5x-12x^{2}+5}{2x}
Combine 5x and -3x to get 2x.
\frac{-12\left(x-\left(-\frac{1}{24}\sqrt{265}+\frac{5}{24}\right)\right)\left(x-\left(\frac{1}{24}\sqrt{265}+\frac{5}{24}\right)\right)}{2x}
Factor the expressions that are not already factored.
\frac{-6\left(x-\left(-\frac{1}{24}\sqrt{265}+\frac{5}{24}\right)\right)\left(x-\left(\frac{1}{24}\sqrt{265}+\frac{5}{24}\right)\right)}{x}
Cancel out 2 in both numerator and denominator.
\frac{-6x^{2}+\frac{5}{2}x+\frac{5}{2}}{x}
Expand the expression.
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