Question

first up, lets review the assignments
get familiar with this topic by reviewing instruction and a

question

solve: \\((11u)(3u - 5) = 0\\). multiple answers, if any, should be separated by commas. enter your answer as an integer or a fraction(s).

provide your answer below:

\\(u = \\)

Explanation:

Identify the given equation

We are given a factored quadratic equation to solve for \(u\):

$$(11u)(3u - 5) = 0$$

Apply the Zero Product Property

The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero:

$$11u = 0 \quad \text{or} \quad 3u - 5 = 0$$

Solve the first linear equation

Solve for \(u\) in the first equation by dividing both sides by \(11\):

$$u = \frac{0}{11}$$

$$u = 0$$

Solve the second linear equation

Solve for \(u\) in the second equation by first adding \(5\) to both sides:

$$3u = 5$$

Now, divide both sides by \(3\) to isolate \(u\):

$$u = \frac{5}{3}$$

Combine the solutions

The solutions to the equation are:

$$u = 0, \frac{5}{3}$$

Answer:

Solve: \((11u)(3u - 5) = 0\). Multiple answers, if any, should be separated by a comma. Enter fractional answers as simplified fraction(s).

Provide your answer below:

\(u =\) <blank>\(0, \frac{5}{3}\)</blank>