x (2x + 3) = 35

(xiv) x (2x + 3) = 35

Sol. x (2x + 3) = 35

∴  2x² + 3x – 35 = 0

∴  2x² + 10x – 7x – 35 = 0

∴  2x (x + 5) – 7 (x + 5) = 0

∴  (x + 5) (2x – 7) = 0

∴  x + 5 = 0 or 2x – 7 = 0

∴  x = – 5 or 2x = 7

∴  x = – 5 or x = ⁷/₂