Question Solve for $w$ where $|3 w+12| = -3$ . If multiple solutions, separate by commas. If no solution, click "No solution".

Studdy Solution

STEP 1

Assumptions1. We are asked to solve for $w$ in the absolute value equation $|3w +12| = -3$ .

STEP 2

An important property of absolute value is that it always returns a nonnegative value. That is, for any real number $x$ , $|x| \geq0$ .

STEP 3

Given that the absolute value of any real number is always nonnegative, it is impossible for $|3w +12|$ to be equal to $-3$ , which is a negative number.
Therefore, there is no solution to this equation.

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