Question

Solve:

|-6x|=30

no solution
x = 6 and x=10
x = -5 and x =5
x= -1 and x=-4

Answer 1

x = -5 and x =5

Explanation:

However, we notice that the solutions -5 and 5 satisfy the original equation in case 2, because |-6(-5)| = 30 and |-6(5)| = 30 is true. Therefore, the two solutions that satisfy the original equation in both cases are x = 5 and x = -5.

Hence, the solution to the equation |-6x| = 30 is x = 5 and x = -5.