__5__ _4m___
m+1 = m
What does "m" equal, I can't figure it out, please help me.
Here's the question in writing in case it isn't clear: 5 over m+1 = 4m over m
Thank you so much.
To solve for "m" in the equation 5/(m+1) = 4m/m, you'll need to cross-multiply and simplify.
First, cross-multiply by multiplying the numerator of the left-hand side (LHS) with the denominator of the right-hand side (RHS) and vice versa:
5 * m = 4m * (m + 1)
Simplifying further:
5m = 4m^2 + 4m
Next, move all terms to one side of the equation to set it equal to zero:
4m^2 + 4m - 5m = 0
Combine like terms:
4m^2 - m = 0
Now, we can factor out the common term "m":
m(4m - 1) = 0
Next, set each factor equal to zero:
m = 0 or 4m - 1 = 0
For the equation m = 0, we have a solution.
For the equation 4m - 1 = 0, isolate "m":
4m = 1
Divide both sides by 4:
m = 1/4
So, the two solutions for "m" are m = 0 and m = 1/4.