#### Find the value(s) of p for which the quadratic equation (2p + 1)x² – (7p + 2)x + (7p – 3) = 0 has equal roots. Also find these roots.

**Solution:**

#### If – 5 is a root of the quadratic equation 2x² + px – 15 = 0 and the quadratic equation p(x² + x) + k = 0 has equal roots, find the value of k.

**Solution:**

**More Fractions And Solutions:**

- Solve the following equation by factorization (x – 4)² + 5² = 13².
- Solve the following equation by factorization x² – 4x – 12 = 0.
- Solve the following equation by factorization 5x² – 8x – 4 = 0.
- Solve the following equation by factorization a²x² + 2ax + 1 = 0.
- Solve the following equation by factorization √3x² + 10x + 7√3 = 0
- Solve the following equation by factorization x² – (1 + √2)x + √2 = 0