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Simplifying 4m2 + -20sm + 25s2 = 0 Reorder the terms: -20ms + 4m2 + 25s2 = 0 Solving -20ms + 4m2 + 25s2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + -5s)(2m + -5s) = 0Subproblem 1
Set the factor '(2m + -5s)' equal to zero and attempt to solve: Simplifying 2m + -5s = 0 Solving 2m + -5s = 0 Move all terms containing m to the left, all other terms to the right. Add '5s' to each side of the equation. 2m + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 2m + 0 = 0 + 5s 2m = 0 + 5s Remove the zero: 2m = 5s Divide each side by '2'. m = 2.5s Simplifying m = 2.5sSubproblem 2
Set the factor '(2m + -5s)' equal to zero and attempt to solve: Simplifying 2m + -5s = 0 Solving 2m + -5s = 0 Move all terms containing m to the left, all other terms to the right. Add '5s' to each side of the equation. 2m + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 2m + 0 = 0 + 5s 2m = 0 + 5s Remove the zero: 2m = 5s Divide each side by '2'. m = 2.5s Simplifying m = 2.5sSolution
m = {2.5s, 2.5s}
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