The equation | 6 x + 12 | = 36 has two solutions.

Answer 1

Hi, Summer!

When solving absolute value equations you have to break them up into two separate equations and solve independently.

| 6x+12 | =36 Think: what two numbers have the abs Val of 36? The answer : 36 and -36

6x+12 =36 AND 6x+12 = -36

-12. -12 -12 -12

6x =24 6x=-48

x=4 x= -8

WHY? | 6(4)+12 | =36 | 6(-8) +12 | = 36

| 36 | = 36 ✅. |-36| =36 ✅

I hope this helps. Have a great day, Summer!

Mrs. S