What is the solution to -2|2.2x - 3.3| = -6.6?
x = -3, x = 3, x = -3, x = 0

Solution :

Given equation -2|2.2x - 3.3| = -6.6

For solving mod divide both sides of the given equation by -2

We get,

|2.2x - 3.3| = 3.3

Now, when we will remove the absolute value term it will create a (+/-) sign on the right side of the equation.

That is |x| = (+/-)x

⇒ 2.2x - 3.3 = (+/-)3.3

Solving both case separately,

⇒ 2.2x - 3.3 = 3.3

⇒ 2.2x = 6.6 

⇒ x = 3

2.2x - 3.3 = -3.3 

2.2x = 0

⇒ x = 0

⇒ Hence the required solution is x = 3 and x = 0.

What is the solution to -2|2.2x - 3.3| = -6.6?

Summary:

The solution to the equation -2|2.2x - 3.3| = -6.6 is x = 3 and x = 0