-2|7d| = 14

Please help me solve this equation.

Question

-2|7d| = 14

Please help me solve this equation.

anonymous · Answer

@shamil98

tkhunny · Answer

You do not need to solve this equation.  You need to look at it and recognize immediately that there is no solution.

anonymous · Answer

Oh? Could you please explain why there is no solution.

anonymous · Answer

Or how?

tkhunny · Answer

What is the sign of an absolute value?

anonymous · Answer

Well, it is |   |

tkhunny · Answer

You did not answer the question.  The symbol for absolute value we agree upon.  The question is what is the sign?  Is it positive or negative or zero or what?

anonymous · Answer

I'm confused. @tkhunny

tkhunny · Answer

|3| = 3
|12| = 12
|-6| = 6
|-14| = 14
|0| = 0

What can you say about the sign of those values on the right hand side?  See any negatives?

anonymous · Answer

The absolute value cannot be negative, so, ah I see, there is no solution.

anonymous · Answer

@tkhunny

tkhunny · Answer

Absolute values are NonNegative (Positive or zero).
Multiply such a thing be a negative number and it is NonPositive.  (Negative or zero)
Since 14 is neither negative nor zero, we're done!

anonymous · Answer

Okay, thank you! I completely understand now I can go and apply what I've learned to other problems. @tkhunny

tkhunny · Answer

Excellent work!!!  Show us one on another thread.