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Simplifying 81m2 + -180mp + 100p2 = 0 Reorder the terms: -180mp + 81m2 + 100p2 = 0 Solving -180mp + 81m2 + 100p2 = 0 Solving for variable 'm'. Factor a trinomial. (9m + -10p)(9m + -10p) = 0Subproblem 1
Set the factor '(9m + -10p)' equal to zero and attempt to solve: Simplifying 9m + -10p = 0 Solving 9m + -10p = 0 Move all terms containing m to the left, all other terms to the right. Add '10p' to each side of the equation. 9m + -10p + 10p = 0 + 10p Combine like terms: -10p + 10p = 0 9m + 0 = 0 + 10p 9m = 0 + 10p Remove the zero: 9m = 10p Divide each side by '9'. m = 1.111111111p Simplifying m = 1.111111111pSubproblem 2
Set the factor '(9m + -10p)' equal to zero and attempt to solve: Simplifying 9m + -10p = 0 Solving 9m + -10p = 0 Move all terms containing m to the left, all other terms to the right. Add '10p' to each side of the equation. 9m + -10p + 10p = 0 + 10p Combine like terms: -10p + 10p = 0 9m + 0 = 0 + 10p 9m = 0 + 10p Remove the zero: 9m = 10p Divide each side by '9'. m = 1.111111111p Simplifying m = 1.111111111pSolution
m = {1.111111111p, 1.111111111p}
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