Solve for x.

x + 6 = √(12 + x)

(x + 6)(x + 6) = 12 + x {squared both sides to get rid of square root sign}

x² + 12x + 36 = 12 + x {used foil method}

x² + 11x + 24 = 0 {subtracted 12 and subtracted x from both sides}

(x + 8)(x + 3) = 0 {factored into two binomials}

x + 8 = 0 or x + 3 = 0 {set each factor equal to 0}

x =

**- 8**or x =

**- 3**{solved each equation for x}

*© Algebra House*