College

Solve for [tex]x[/tex] in the equation:

[tex]2 + 13x = 0[/tex]

Select the best answer from the choices provided:

A. [tex]x = -\frac{13}{15}[/tex]

B. [tex]x = 0[/tex]

C. [tex]x = \frac{13}{15}[/tex]

D. [tex]x = \pm \frac{13}{15}[/tex]

Answer :

To solve the equation [tex]\(2 + 13x = 0\)[/tex] for [tex]\(x\)[/tex], follow these steps:

1. Start by isolating the variable [tex]\(x\)[/tex]:
- The equation is [tex]\(2 + 13x = 0\)[/tex].
- Subtract 2 from both sides to move the constant term:
[tex]\[
13x = -2
\][/tex]

2. Solve for [tex]\(x\)[/tex]:
- To solve for [tex]\(x\)[/tex], divide both sides by 13:
[tex]\[
x = \frac{-2}{13}
\][/tex]

Therefore, the solution to the equation is [tex]\(x = -\frac{2}{13}\)[/tex].

From the provided answer choices, none of them exactly matches [tex]\(-\frac{2}{13}\)[/tex], but it's possible the original question contains a mistake in choices. The solution [tex]\(-\frac{2}{13}\)[/tex] does not exactly match any options given. Make sure to double-check the problem statement and the choices for any possible errors.