Question

$x(2x+5)=25$

Answer 1

$x(2x + 5) = 25 \\ \\ = > 2 {x}^{2} + 5x = 25 \\ \\ = > 2{x}^{2} + 5x - 25 = 0 \\ \\ = > 2 {x}^{2} + (10 - 5)x - 25 =0 \\ \\ = > 2 {x}^{2} + 10x - 5x - 25 = 0 \\ \\ = > 2x(x + 5) - 5( x + 5) = 0 \\ \\ = > (x + 5)(2x - 5) = 0 \\ \\ \\ \mathbf{By \: Zero \: Product \: Rule, } \\ \\ \\ = > x = - 5 \: \: \: \: or \: \: \: \: \: x = \frac{5}{2}$

Answer 2

ARYAN. PVT...LTD.......