Question

What is the solution to –2|2.2x – 3.3| = –6.6? x = –3 x = 3 x = –3 or x = 0 x = 0 or x = 3

Answer 1

x = 3

-2 | 2.2(3) -3.3 | = -6.6

-2 | 6.6 - 3.3 | = -6.6

-2 | 3.3 | = -6.6

-2 * 3.3 = -6.6

-6.6 = -6.6

Answer 2

we have

$-2\left|2.2x-3.3\right|=-6.6$

Step 1

Find the first solution

the first solution is when the term contained in the absolute value is positive

$-2[(2.2x-3.3)]=-6.6$

solve for x

$-4.4x+6.6=-6.6\\-4.4x=-6.6-6.6 \\ -4.4x=-13.2\\x=3$

Step 2

Find the second solution

the second solution is when the term contained in the absolute value is negative

$-2[-(2.2x-3.3)]=-6.6$

solve for x

$4.4x-6.6=-6.6\\ 4.4x=0\\x=0$

therefore

the answer is

$x = 0$ or $x = 3$