ok is the answer x=6 for this problem which is (2)/(3)(x+6)=0?
To check if the answer x=6 is correct, you would substitute x=6 in the given equation to get
(2/3)(x+6)
=(2/3)(6+6)
=8
Since it does not equal zero, the answer is not correct.
Can you now figure out what value of x it takes to make the expression to become zero?
I am not certain of your problem. I am assuming it it this:
2/3 * (x+6)=0
in that case, x=-6
To verify if the answer to the equation (2/3)(x + 6) = 0 is indeed x = 6, we need to solve the equation step by step.
Step 1: Distribute the (2/3) to both terms in the parentheses:
(2/3)(x + 6) = 0
(2/3)x + (2/3)(6) = 0
(2/3)x + 4 = 0
Step 2: Subtract 4 from both sides of the equation:
(2/3)x + 4 - 4 = 0 - 4
(2/3)x = -4
Step 3: Multiply both sides of the equation by the reciprocal of 2/3, which is 3/2, to isolate x:
((2/3)x) * (3/2) = (-4) * (3/2)
(x) = -6
Thus, we find that the solution to the equation (2/3)(x + 6) = 0 is x = -6, not x = 6.