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solve for u. -2|3u + 4| = 20 if there is more than one solution, separa…

Question

solve for u.
-2|3u + 4| = 20
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
u =

Explanation:

Step1: Divide both sides by -2

To isolate the absolute value expression, we divide both sides of the equation \(-2|3u + 4| = 20\) by \(-2\). This gives us \(|3u + 4|=\frac{20}{-2}=-10\).

Step2: Analyze the absolute value

The absolute value of a number is always non - negative (greater than or equal to 0). That is, for any real number \(x\), \(|x|\geq0\). In our case, we have \(|3u + 4|=-10\), but the left - hand side \(|3u + 4|\) cannot be negative. So, there is no solution for \(u\) that satisfies the equation.

Answer:

No solution