Question

Solve the factor ed quadriatic equation 13x + 3 * 9x - 14 = 0
The solution set is X = -3/13, 9/14 the solution set is x = -3/13, 1 and 5/9

Answers

Answered by GPT-4o mini
It seems there may be a misunderstanding in how the equation is represented, as it's not immediately clear. Let's interpret your equation:
You have written "13x + 3 * 9x - 14 = 0." If we assume it means:
\[ 13x + 3(9x) - 14 = 0, \]
this simplifies to:
\[ 13x + 27x - 14 = 0. \]
Combining like terms gives:
\[ 40x - 14 = 0. \]
Now, let's solve for \(x\):
1. **Add 14 to both sides:**
\[
40x = 14
\]
2. **Divide by 40:**
\[
x = \frac{14}{40} = \frac{7}{20}
\]

If you meant a different equation or form, please clarify.

As for the provided solution set of \(x = -\frac{3}{13}\) and \(x = \frac{9}{14}\), those solutions do not seem to relate to the quadratic expression derived from your equation.

If you have a quadratic equation you need to solve or factor, please provide it in standard form, or clarify what you meant!

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