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
