Question

√2x² + 7x + 5√2 = 0​

Answer 1

$\sqrt{2} {x}^{2} + 7x + 5 \sqrt{2} = 0 \\ \sqrt{2} {x}^{2} + 2x + 5x + 5 \sqrt{2} = 0 \\ \sqrt{2} x(x + \sqrt{2} ) + 5(x + \sqrt{2} ) = 0 \\ (x + \sqrt{2} )( \sqrt{2} x + 5) = 0 \\ \\ x = - \sqrt{2} \: or \: x = - \frac{5}{ \sqrt{2} }$