Question

How many solutions are there to the equation below 6x+15=6(x+3)

Answer 1

6x + 15 = 6 (x + 3)

6x + 15 = 6x + 18

6x = 6x + 3

0 = 3


So, there are no solutions to this equation.

Answer 2

The equation has Zero solution.

Explanation:

Consider the provided equation.

`6x+15=6(x+3)`

Apply the distributive property:
`a(b+c)=ab+ac`

`6x+15=6x+18`

Now isolate the variables by subtracting 6 from both the sides.

`6x+15-6x=6x+18-6x`

`15=18`

Which is not true.

Hence, the equation has no solution or the equation has Zero solution.