Final answer:
The values of m that satisfy the equation 5m²-25m= 120 are 8 and -3.
Step-by-step explanation:
To find the values of m that satisfy the equation 5m²-25m= 120, we need to solve the quadratic equation for m.
First, let's rewrite the equation in standard form:
5m² - 25m - 120 = 0
Next, we can factorize the quadratic equation:
(m - 8)(5m + 15) = 0
Now, we can set each factor equal to zero and solve for m:
m - 8 = 0 gives m = 8
5m + 15 = 0 gives m = -3
Therefore, the values of m that satisfy the equation are 8 and -3.