3|2x+5|-9 = 0 solve the absolute value equation
1 answer:
Answer:x=−1 or x=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
3(|2x+5|)−9=0
Step 1: Add 9 to both sides.
3(|2x+5|)−9+9=0+9
3(|2x+5|)=9
Step 2: Divide both sides by 3.
3(|2x+5|)
3
=
9
3
|2x+5|=3
Step 3: Solve Absolute Value.
|2x+5|=3
We know either2x+5=3or2x+5=−3
2x+5=3(Possibility 1)
2x+5−5=3−5(Subtract 5 from both sides)
2x=−2
2x
2
=
−2
2
(Divide both sides by 2)
x=−1
2x+5=−3(Possibility 2)
2x+5−5=−3−5(Subtract 5 from both sides)
2x=−8
2x
2
=
−8
2
(Divide both sides by 2)
x=−4
Answer: x=−1 or x=−4
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