Question

Solve for x: x(x+1)+(x+1)(x+2)=(x+2)(x+3)+ x(x+4) - 9​

Answer 1

Answer:

Both sides of the equation are multiples of x(x+1)(x+2)(x+3) . This means that any value of x that can be substituted into x(x+1)(x+2)(x+3) to set it equal to 0 is a solution to the equation. The solutions are:

0 , because (0)(0+1)(0+2)(0+3)=0=(0)(0+1)(0+2)(0+3)(0+4)

−1 , because (−1+1)=0 , so (−1)(0)(−1+2)(−1+3)=0=(−1)(0)(−1+2)(−1+3)(−1+4)

Vice versa for −2 and −3 (also solutions).

−4 is not a solution because although substituting −4 in for x in x(x+1)(x+2)(x+3)(x+4) sets that side of the equation to 0, it sets the left side of the equation to −4(−4+1)(−4+2)(−4+3)=24 . 0≠24 , so -4 is not a solution.

Answer 2

Answer:

x= 11/2 answer...

I hope it is helpful.....