Solve for: (2x+10)/(2x^2-50)

Expression: $\frac{ 2x+10 }{ 2{x}^{2}-50 }$

Factor out $2$ from the expression

$\frac{ 2\left( x+5 \right) }{ 2{x}^{2}-50 }$

Factor out $2$ from the expression

$\frac{ 2\left( x+5 \right) }{ 2\left( {x}^{2}-25 \right) }$

Use ${a}^{2}-{b}^{2}=\left( a-b \right)\left( a+b \right)$ to factor the expression

$\frac{ 2\left( x+5 \right) }{ 2\left( x-5 \right) \times \left( x+5 \right) }$

Cancel out the common factor $2$

$\frac{ x+5 }{ \left( x-5 \right) \times \left( x+5 \right) }$

Cancel out the common factor $x+5$

$\frac{ 1 }{ x-5 }$