Factor out the common term \(5\).
\[\frac{5(x+3)}{2x}\times \frac{4{x}^{2}}{{x}^{2}+3x}\]
Factor out the common term \(x\).
\[\frac{5(x+3)}{2x}\times \frac{4{x}^{2}}{x(x+3)}\]
Cancel \(x+3\).
\[\frac{5}{2x}\times \frac{4{x}^{2}}{x}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{5\times 4{x}^{2}}{2xx}\]
Simplify \(5\times 4{x}^{2}\) to \(20{x}^{2}\).
\[\frac{20{x}^{2}}{2xx}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{20{x}^{2}}{2{x}^{2}}\]
Cancel \({x}^{2}\).
\[\frac{20}{2}\]
Simplify.
\[10\]
10
