Question

solve for x: 2(x+2)^2=x+4

Answer 1

Step-by-step explanation:

$\implies 2 {(x + 2)}^{2} = x + 4 \\ \\ \implies 2( {x}^{2} + 4 + 4x) = x + 4 \\ \\ \implies 2 { x }^{2} + 8 + 8x = x + 4 \\ \\ \implies 2 {x}^{2} + 7x + 4 = 0 \\ \\ \huge \boxed{ \implies x = \frac{ - 7 \pm \sqrt{17} }{4} }$