How would you find the value of m in this problem?
4m + 2 = -2 + 4m
Well, I brought the 2 over to the right side by subtracting. That left me with 4m = -4 + 4m. Then, I subtracted the 4m from the right and did to the other side to get 0 = -4.
Is there no solution, then?
Correct. There is no solution. No matter what m is, -2 cannot equal +2.
Thank you!
To find the value of m in the equation 4m + 2 = -2 + 4m, let's simplify the equation step by step.
First, we can combine like terms on both sides of the equation. On the left side, we have 4m, and on the right side, we have 4m. So we have:
4m + 2 = -2 + 4m
Next, let's move all terms containing m to one side of the equation. We can achieve this by subtracting 4m from both sides:
(4m + 2) - 4m = (-2 + 4m) - 4m
2 = -2
At this point, we see that 2 = -2, which is not true. This means that no matter what value we substitute for m, the equation will never be satisfied. Therefore, in this case, there is no solution.
To summarize:
- The steps you followed initially were correct, but it ultimately led to an equation that is not true (0 = -4).
- The solution to an equation is found when both sides of the equation are equal, which is not the case here.
- Thus, there is no value of m that satisfies the equation.