Question

Is the solution to the radical equation the square root of negative 6 x equals x x = 0, x = -6 or both?

Answer 1

Both.

sqrt(-6x) = x
(-6x) = x^2
x^2 + 6x = 0
(x)(x+6) = 0
thus x = 0, x+6 = 0 *splitting the ()() up*