Final answer:
To find the value of m ÷ n in the equation m² − 3m = 25n² − 15n, we can rearrange the equation and factor it. The value of m ÷ n is 5.
Step-by-step explanation:
To find the value of m ÷ n in the equation m² − 3m = 25n² − 15n, we need to first simplify the equation. Since both sides have terms with m in them and terms with n in them, we can't solve for specific values of m and n. However, we can calculate the value of the expression m ÷ n based on the given equation. Rearranging the equation, we have m² − 3m - (25n² − 15n) = 0.
Factoring the expression, we get (m - 5n)(m + 3) = 0. This means either m - 5n = 0 or m + 3 = 0. Since m and n are natural numbers, we can discard the solution m + 3 = 0.
Therefore, the value of m ÷ n is 5.