Question

What is the answer to 4(7c+2)=28c?

I keep getting no solution. Is that right?

Answer 1

This has no solution, please see below on why.

Explanation:

So let start using the distributive property where you distributed the 4 on the left side of the equal sign which give us the following:

`28c+8=28c`

So if we subtract 8 from both sides, we get:

`28c=28c-8`

So no matter where we subtract 8, we get a answer that we cannot reduce anymore which leads to no solution.

Answer 2

There is no solution to the equation.

`c` has no value.

Explanation:

`4(7c+2)=28c" "larr` remove the brackets

`28c +8 = 28c" "larr` re-arrange the equation

`28c-28c =-8" "larr` simplify

`0=-8`

This statement is clearly FALSE and there is also no `c` as a variable to solve for.

This is an indication that there is NO SOLUTION to the equation.
There is no value of `c` which will make the equation true.