Solve the equation and also verify your solution:(x + 2) (x + 3) + (x

1.	Solve the equation and also verify your solution:(x + 2) (x + 3) + (x – 3) (x – 2) – 2x(x + 1) = 0
Answer» We have, (x + 2) (x + 3) + (x – 3) (x – 2) – 2x(x + 1) = 0 Upon expansion we get, x²+ 5x + 6 + x² – 5x +6 – 2x² – 2x =0 -2x + 12 = 0 By dividing the equation using -2 we get, x – 6 = 0 x = 6 ∴ x = 6

Solve the equation and also verify your solution:(x + 2) (x + 3) + (x – 3) (x – 2) – 2x(x + 1) = 0

Answer»

We have,

(x + 2) (x + 3) + (x – 3) (x – 2) – 2x(x + 1) = 0

Upon expansion we get,

x²+ 5x + 6 + x² – 5x +6 – 2x² – 2x =0

-2x + 12 = 0

By dividing the equation using -2 we get,

x – 6 = 0

x = 6

∴ x = 6