How do you solve #4abs(x+4)+8=-12#?

Answer 1

This one has no solution.

Because of the absolute bars #|x+4|>=0# #4# times non-negative is still non-negative. Adding #8# makes sure the left part of the equation is #>=8#

So it can never be #=-12#

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Answer 2

Avery Alexander

To solve the equation ( 4| x + 4 | + 8 = -12 ), follow these steps:

Subtract 8 from both sides: ( 4| x + 4 | = -20 ).
Divide both sides by 4: ( | x + 4 | = -5 ).
Since the absolute value of a number cannot be negative, there are no solutions for this equation.

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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.