we are given
5 times the square root of the quantity of x plus 7
so, we get
left side is

right side is -10
so, we can set them equal

Since, we have to solve for x
so, we will isolate x one anyone side
and then we can solve for x
we take square both sides


Divide both sides by 25


Subtract both sides by 7


Extraneous solution:
we can plug x=-3 into original




we know that 10 is not equal to -10
so, x=-3 is not valid solution
Hence, this is extraneous solution...........Answer