Solve the equation. Check for extraneous solutions. |4x| = 28 Absolute value is the distance away from zero. |4x| = 28 4x = 28 or 4x = -28 {the two numbers that are 28 away from zero are 28 and -28} x = 7 or x = -7 {divided each side by 4} Check. If it makes a false statement, then it is an extraneous solution. Check 7: |4(7)| = 28 |28| = 28 {multiplied} 28 = 28 {true statement, so 7 is not extraneous} Check -7: |4(-7)| = 28 |-28| = 28 {multiplied} 28 = 28 {a true statement, so -7 is not extraneous} - Algebra House
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