SOLUTION: I need the answers to these questions: |(2x+(1/3))x +0.3|=3.5 and |(-2x+(1/3))x+0.3|=3.5

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Question 1020900: I need the answers to these questions:
|(2x+(1/3))x +0.3|=3.5
and
|(-2x+(1/3))x+0.3|=3.5

Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
They are somewhat alike, and if you understand how to handle either, you can handle the other.



Distribute.

Maybe easier if clear the fractions denominators...

, not perfectly, but good enough to continue comfortably.

Either the input to the absolute value is non-negative, or it is negative. Solve for each of these two cases.


NON-NEGATIVE



Discrim is

NEGATIVE




Discrim is
These will not be real numbers.

Continue for the non-negative inputs to the absolute value.


You may want to check both values in case one of them does not work in the original equation.

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