Question

the restricted value(s) is/are 0. (type an integer or a simplified fraction. use a simplify the rational expression. \\(\frac{7x - 14x^2}{7x}\\) = (use integers or fractions for any numbers in the expr

Explanation:

Step1: Factor the numerator

First, we factor out the greatest common factor (GCF) from the numerator \(7x - 14x^{2}\). The GCF of \(7x\) and \(14x^{2}\) is \(7x\). So we can rewrite the numerator as:
\(7x(1 - 2x)\)
So the rational expression becomes \(\frac{7x(1 - 2x)}{7x}\)

Step2: Cancel out the common factors

We can see that \(7x\) is present in both the numerator and the denominator. As long as \(x
eq0\) (since we can't divide by zero), we can cancel out the \(7x\) terms:
\(\frac{7x(1 - 2x)}{7x}=1 - 2x\) (for \(x
eq0\))

Answer:

\(1 - 2x\) (with the restriction \(x
eq0\))