Please solve those questions seperately for me
Answer :
We have ( x + 2 ) ( x + 3 ) + ( x - 3 ) ( x - 2 ) - 2x ( x + 1 ) = 0
So,
( x2 + 3x + 2x + 6 ) +( x2 - 3x - 2x + 6 ) - ( 2x2 + 2x ) = 0
( x2 + 5x + 6 ) +( x2 - 5x + 6 ) - ( 2x2 + 2x ) = 0
x2 + 5x + 6 + x2 - 5x + 6 - 2x2 - 2x = 0
12 - 2x = 0
2x = 12
x = 6 ( Ans )
We have ( x + 2 ) ( x + 3 ) + ( x - 3 ) ( x - 2 ) - 2x ( x + 1 ) = 0
So,
( x2 + 3x + 2x + 6 ) +( x2 - 3x - 2x + 6 ) - ( 2x2 + 2x ) = 0
( x2 + 5x + 6 ) +( x2 - 5x + 6 ) - ( 2x2 + 2x ) = 0
x2 + 5x + 6 + x2 - 5x + 6 - 2x2 - 2x = 0
12 - 2x = 0
2x = 12
x = 6 ( Ans )