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Divide the entire equation by 4:
\[x^2 + 25x - 48 = 0\]
Use the quadratic formula:
\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]
Where \( a = 1 \), \( b = 25 \), \( c = -48 \).
\[x = \frac{-25 \pm \sqrt{25^2 - 4 \times 1 \times (-48)}}{2 \times 1}\]
\[x = \frac{-25 \pm \sqrt{625 + 192}}{2}\]
\[x = \frac{-25 \pm \sqrt{817}}{2}\]
Approximating,
\[x \approx \frac{-25 + 28.6}{2}\]