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Simplifying 4m2 + 20mp + 25p2 = 0 Reorder the terms: 20mp + 4m2 + 25p2 = 0 Solving 20mp + 4m2 + 25p2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + 5p)(2m + 5p) = 0Subproblem 1
Set the factor '(2m + 5p)' equal to zero and attempt to solve: Simplifying 2m + 5p = 0 Solving 2m + 5p = 0 Move all terms containing m to the left, all other terms to the right. Add '-5p' to each side of the equation. 2m + 5p + -5p = 0 + -5p Combine like terms: 5p + -5p = 0 2m + 0 = 0 + -5p 2m = 0 + -5p Remove the zero: 2m = -5p Divide each side by '2'. m = -2.5p Simplifying m = -2.5pSubproblem 2
Set the factor '(2m + 5p)' equal to zero and attempt to solve: Simplifying 2m + 5p = 0 Solving 2m + 5p = 0 Move all terms containing m to the left, all other terms to the right. Add '-5p' to each side of the equation. 2m + 5p + -5p = 0 + -5p Combine like terms: 5p + -5p = 0 2m + 0 = 0 + -5p 2m = 0 + -5p Remove the zero: 2m = -5p Divide each side by '2'. m = -2.5p Simplifying m = -2.5pSolution
m = {-2.5p, -2.5p}
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