Question

Solve for x.
x² + 6x + 9 = 12

Answer 1

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

Answer 2

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