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Simplifying 36n2 + 84pn + 49p2 = 0 Reorder the terms: 84np + 36n2 + 49p2 = 0 Solving 84np + 36n2 + 49p2 = 0 Solving for variable 'n'. Factor a trinomial. (6n + 7p)(6n + 7p) = 0Subproblem 1
Set the factor '(6n + 7p)' equal to zero and attempt to solve: Simplifying 6n + 7p = 0 Solving 6n + 7p = 0 Move all terms containing n to the left, all other terms to the right. Add '-7p' to each side of the equation. 6n + 7p + -7p = 0 + -7p Combine like terms: 7p + -7p = 0 6n + 0 = 0 + -7p 6n = 0 + -7p Remove the zero: 6n = -7p Divide each side by '6'. n = -1.166666667p Simplifying n = -1.166666667pSubproblem 2
Set the factor '(6n + 7p)' equal to zero and attempt to solve: Simplifying 6n + 7p = 0 Solving 6n + 7p = 0 Move all terms containing n to the left, all other terms to the right. Add '-7p' to each side of the equation. 6n + 7p + -7p = 0 + -7p Combine like terms: 7p + -7p = 0 6n + 0 = 0 + -7p 6n = 0 + -7p Remove the zero: 6n = -7p Divide each side by '6'. n = -1.166666667p Simplifying n = -1.166666667pSolution
n = {-1.166666667p, -1.166666667p}
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