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Simplifying [6n2 + -6n + -5][7n2 + 6n + -5] = 0 Reorder the terms: [-5 + -6n + 6n2][7n2 + 6n + -5] = 0 Reorder the terms: [-5 + -6n + 6n2][-5 + 6n + 7n2] = 0 Multiply [-5 + -6n + 6n2] * [-5 + 6n + 7n2] [-5[-5 + 6n + 7n2] + -6n * [-5 + 6n + 7n2] + 6n2 * [-5 + 6n + 7n2]] = 0 [[-5 * -5 + 6n * -5 + 7n2 * -5] + -6n * [-5 + 6n + 7n2] + 6n2 * [-5 + 6n + 7n2]] = 0 [[25 + -30n + -35n2] + -6n * [-5 + 6n + 7n2] + 6n2 * [-5 + 6n + 7n2]] = 0 [25 + -30n + -35n2 + [-5 * -6n + 6n * -6n + 7n2 * -6n] + 6n2 * [-5 + 6n + 7n2]] = 0 [25 + -30n + -35n2 + [30n + -36n2 + -42n3] + 6n2 * [-5 + 6n + 7n2]] = 0 [25 + -30n + -35n2 + 30n + -36n2 + -42n3 + [-5 * 6n2 + 6n * 6n2 + 7n2 * 6n2]] = 0 [25 + -30n + -35n2 + 30n + -36n2 + -42n3 + [-30n2 + 36n3 + 42n4]] = 0 Reorder the terms: [25 + -30n + 30n + -35n2 + -36n2 + -30n2 + -42n3 + 36n3 + 42n4] = 0 Combine like terms: -30n + 30n = 0 [25 + 0 + -35n2 + -36n2 + -30n2 + -42n3 + 36n3 + 42n4] = 0 [25 + -35n2 + -36n2 + -30n2 + -42n3 + 36n3 + 42n4] = 0 Combine like terms: -35n2 + -36n2 = -71n2 [25 + -71n2 + -30n2 + -42n3 + 36n3 + 42n4] = 0 Combine like terms: -71n2 + -30n2 = -101n2 [25 + -101n2 + -42n3 + 36n3 + 42n4] = 0 Combine like terms: -42n3 + 36n3 = -6n3 [25 + -101n2 + -6n3 + 42n4] = 0 Solving 25 + -101n2 + -6n3 + 42n4 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
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