Factor out common term: Given the equation m^2 - 5m = 0, we want to find the values of m that satisfy this equation. First, we factor out the common term m from the left side of the equation. m(m - 5) = 0Apply zero-product property: Next, we apply the zero-product property, which states that if a product of two factors is zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero and solve for m. m = 0 or m - 5 = 0Solve for m: Now we solve each equation for m. For the first equation, m is already isolated: m = 0 For the second equation, we add 5 to both sides to isolate m: m - 5 + 5 = 0 + 5 m = 5

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m^{2}-5 m=0

Factor out common term: Given the equation $m^2 - 5m = 0$ , we want to find the values of $m$ that satisfy this equation. $\newline$ First, we factor out the common term $m$ from the left side of the equation. $\newline$ $m(m - 5) = 0$
Apply zero-product property: Next, we apply the zero-product property, which states that if a product of two factors is $0$ , then at least one of the factors must be $0$ . Therefore, we set each factor equal to $0$ and solve for $m$ . $m = 0$ or $m - 5 = 0$
Solve for m: Now we solve each equation for m. $\newline$ For the first equation, m is already isolated: $\newline$ $m = 0$ $\newline$ For the second equation, we add $5$ to both sides to isolate m: $\newline$ $m - 5 + 5 = 0 + 5$ $\newline$ $m = 5$