Question

Solve for x.
x² + 6x + 9 = 12

Answer 1

$x^2+6x+9=12\\\\x^2+2\cdot x\cdot3+3^2=12\\\\(x+3)^2=12\\\\(x+3)^2=\big(\sqrt{12}\big)^2\\\\(x+3)^2=\big(\sqrt{4\cdot3}\big)^2\\\\(x+3)^2=\big(\sqrt{4}\cdot\sqrt{3}\big)^2\\\\(x+3)^2=\big(2\sqrt{3}\big)^2\\\\(x+3)^2-\big(2\sqrt{3}\big)^2=0\\\\(x+3-2\sqrt{3})(x+3+2\sqrt{3})=0\\\\\\\boxed{x=-3+2\sqrt{3}\qquad\vee\qquad x=-3-2\sqrt{3}}$

Answer 2

if your confused on this then its well just put his answer together like fuse the plus and minus sign