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How do you solve the equation #abs(2/3x+2)=0#?

Answer 1

Savannah Anderson

When one has the form,

#|f(x)| = C#

then one writes two equations

#f(x) = C# and #f(x) = -C#

and then solves both equations for x. But, when C = 0, there is only 1 equation, because #0 = -0#

Given: #|2/3x+2|=0#

Since C = 0 is a special case, we only need to write one equation:

#2/3x+2 = 0#

Calculate x:

#2/3x = -2#

#x = -3#

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Answer 2

Jace Anderson

To solve the equation abs(2/3x+2)=0, set the expression inside the absolute value equal to zero and solve for x.

2/3x + 2 = 0

Then solve for x:

2/3x = -2

Multiply both sides by 3/2:

x = -3

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.