5/(4x+3)=5/4x + 5/3
You asked:
Solve the equation \(\frac{5}{4 x + 3} = \frac{5}{4 x} + \frac{5}{3}\) for the variable \(x\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}x &= - \frac{3}{8} - \frac{3 \sqrt{3} i}{8} \approx -0.375 -0.64951905 i\\x &= - \frac{3}{8} + \frac{3 \sqrt{3} i}{8} \approx -0.375 + 0.64951905 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).