Answer:
The number is -3
Step-by-step explanation:
The complete question is
If four times the sum of a number and 3 is divided by 2, the quotient is 0: find the number
Let
x ---> the number
we know that
The algebraic expression of the sum of a number and 3 is equal to adds the number x and the number 3
so
[tex](x+3)[/tex]
The algebraic expression of four times the sum of a number and 3 is equal to adds the number x and the number 3 and multiply the result by 4
so
[tex]4(x+3)[/tex]
therefore
The quotient of four times the sum of a number and 3,divided by 2 equal zero is
[tex]\frac{4(x+3)}{2}=0[/tex]
Solve for x
Simplify
[tex]2(x+3)=0\\x+3=0\\x=-3[/tex]
The number is -3
