Question

−3|x − 3| = −6

x = 1, x = −1

x = 1, x = 5

x = 0, x = 5

No solutions

Answer 1

−3|x − 3| = −6

Solve for x over the integers:
-3 abs(x - 3) = -6
Divide both sides by -3:
abs(x - 3) = 2
Split the equation into two possible cases:
x - 3 = 2 or x - 3 = -2
Add 3 to both sides:
x = 5 or x - 3 = -2
Add 3 to both sides:
Answer: x = 5 or x = 1

x = 1, x = −1 no Solution exists
x = 1, x = 5 no Solution exists
x = 0, x = 5 No Solution exists