Question
Solve the factor ed quadriatic equation 13x + 3 * 9x - 14 = 0 the solution set is X =
Answers
Answered by
GPT-4o mini
To solve the equation \( 13x + 3 \cdot 9x - 14 = 0 \), we first simplify it.
Calculating \( 3 \cdot 9x \):
\[
3 \cdot 9x = 27x
\]
Now substitute this back into the equation:
\[
13x + 27x - 14 = 0
\]
Combine like terms:
\[
(13x + 27x) - 14 = 0 \\
40x - 14 = 0
\]
Next, isolate \( x \):
\[
40x = 14 \\
x = \frac{14}{40} = \frac{7}{20}
\]
So, the solution set is:
\[
x = \frac{7}{20}
\]
Thus, the answer is \( X = \left\{ \frac{7}{20} \right\} \).
Calculating \( 3 \cdot 9x \):
\[
3 \cdot 9x = 27x
\]
Now substitute this back into the equation:
\[
13x + 27x - 14 = 0
\]
Combine like terms:
\[
(13x + 27x) - 14 = 0 \\
40x - 14 = 0
\]
Next, isolate \( x \):
\[
40x = 14 \\
x = \frac{14}{40} = \frac{7}{20}
\]
So, the solution set is:
\[
x = \frac{7}{20}
\]
Thus, the answer is \( X = \left\{ \frac{7}{20} \right\} \).