(m+m)/m=5 — step-by-step solution

Let's solve in

ℝ

\frac{m + m}{m} = 5

ⓘ Like terms are grouped by adding their coefficients:

m + m

2 m

\frac{2 m}{m} = 5

ⓘ The original denominator must remain nonzero. The fraction is simplified by dividing the numerator and the denominator by their common factor

m

\frac{2 m}{m}

2

2 = 5

The statement

2 = 5

is false, whatever the value of

m

Solution:

m \in \emptyset

For the expression

\frac{m + m}{m}

to exist, you must check:

m \neq 0

Domain constraints:

m \neq 0

▶Solution:

m \in \emptyset