Question

Solve for x

12=x^2+6x

Answer 1

`\large\boxed{x=-3\pm√(21)}`

Explanation:

`x^2+6x=12\\\\x^2+2(x)(3)=12\qquad\text{add}\ 3^2\ \text{to both sides}\\\\x^2+2(x)(3)+3^2=12+3^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+3)^2=12+9\\\\(x+3)^2=21\iff x+3\pm√(21)\qquad\text{subtract 3 from both sides}\\\\x=-3\pm√(21)`