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Simplifying 12n2 + -20np + -25p2 = 0 Reorder the terms: -20np + 12n2 + -25p2 = 0 Solving -20np + 12n2 + -25p2 = 0 Solving for variable 'n'. Factor a trinomial. (2n + -5p)(6n + 5p) = 0Subproblem 1
Set the factor '(2n + -5p)' equal to zero and attempt to solve: Simplifying 2n + -5p = 0 Solving 2n + -5p = 0 Move all terms containing n to the left, all other terms to the right. Add '5p' to each side of the equation. 2n + -5p + 5p = 0 + 5p Combine like terms: -5p + 5p = 0 2n + 0 = 0 + 5p 2n = 0 + 5p Remove the zero: 2n = 5p Divide each side by '2'. n = 2.5p Simplifying n = 2.5pSubproblem 2
Set the factor '(6n + 5p)' equal to zero and attempt to solve: Simplifying 6n + 5p = 0 Solving 6n + 5p = 0 Move all terms containing n to the left, all other terms to the right. Add '-5p' to each side of the equation. 6n + 5p + -5p = 0 + -5p Combine like terms: 5p + -5p = 0 6n + 0 = 0 + -5p 6n = 0 + -5p Remove the zero: 6n = -5p Divide each side by '6'. n = -0.8333333333p Simplifying n = -0.8333333333pSolution
n = {2.5p, -0.8333333333p}
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