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Simplifying n2 + -29nq + 100q2 = 0 Reorder the terms: -29nq + n2 + 100q2 = 0 Solving -29nq + n2 + 100q2 = 0 Solving for variable 'n'. Factor a trinomial. (n + -25q)(n + -4q) = 0Subproblem 1
Set the factor '(n + -25q)' equal to zero and attempt to solve: Simplifying n + -25q = 0 Solving n + -25q = 0 Move all terms containing n to the left, all other terms to the right. Add '25q' to each side of the equation. n + -25q + 25q = 0 + 25q Combine like terms: -25q + 25q = 0 n + 0 = 0 + 25q n = 0 + 25q Remove the zero: n = 25q Simplifying n = 25qSubproblem 2
Set the factor '(n + -4q)' equal to zero and attempt to solve: Simplifying n + -4q = 0 Solving n + -4q = 0 Move all terms containing n to the left, all other terms to the right. Add '4q' to each side of the equation. n + -4q + 4q = 0 + 4q Combine like terms: -4q + 4q = 0 n + 0 = 0 + 4q n = 0 + 4q Remove the zero: n = 4q Simplifying n = 4qSolution
n = {25q, 4q}
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