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### Course: College Algebra > Unit 1

Lesson 6: Absolute value equations# Solving absolute value equations

Understand why an absolute value equation can have from 0 to 2 solutions. Solve absolute value equations with different numbers of solutions. Created by Sal Khan.

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- Why does the final problem at6:43have no solutions? couldn't it be x= 1/2 or x= -1/2?(6 votes)
- This makes absolutely no sense. How did -6/-5 become positive when it hasn't been divided into yet? What's wrong with dividing it to a decimal? And prob 2 I got -1.5 and 4.5 but he stopped at 0. Why not subtract and divide? And how does he kno the shape of variables on a graph at start w no given values yet? He doesnt explain any of it.(5 votes)
- Why is -6/5 not divided to get 1.2 which is easier to plot. Fractions are near impossible to plot unless u know the decimal equivalent. Isnt that an improper fraction? And prob 2 the - is a minus not a negative but he adds a 1 to make it negative? How does that make sense and why 1 isnt that redundant?(4 votes)
- At6:37Couldn't you divide both sides by -4? -2/-4 = 0.5 Which is a positive value(4 votes)
- will an absolute value problem always have two solutions?(1 vote)
- If the problem equals 0, you will have one solution.(3 votes)

- will an absolute value problems always have two solutions?(1 vote)
- Nope! They can have two, one, or zero solutions.(1 vote)

- At2:40p.m., why was the negative of -|2x+3| turned into |2x+3|?(1 vote)
- We need to divide or multiply the equation by -1 in order to get rid of the negative on the left side of the equation, however the right side does not change since any number multiplied/divided by zero will remain zero(1 vote)

- At5:11, cant the answer also be x=-1.5 ? because (2*-1.5)+3=0 Edit: LOL i paused the video seconds before he said that its equal to -3/2(0 votes)