Evaluate: 5x^2+10x-75

Expression: $5{x}^{2}+10x-75$

Factor out $5$ from the expression

$5\left( {x}^{2}+2x-15 \right)$

Write $2x$ as a difference

$5\left( {x}^{2}+5x-3x-15 \right)$

Factor out $x$ from the expression

$5\left( x \times \left( x+5 \right)-3x-15 \right)$

Factor out $-3$ from the expression

$5\left( x \times \left( x+5 \right)-3\left( x+5 \right) \right)$

Factor out $x+5$ from the expression

$5\left( x+5 \right) \times \left( x-3 \right)$