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Simplifying 2t + 12t + -4n(n + 4n) = 0 Combine like terms: n + 4n = 5n 2t + 12t + -4n(5n) = 0 Remove parenthesis around (5n) 2t + 12t + -4n * 5n = 0 Reorder the terms for easier multiplication: 2t + 12t + -4 * 5n * n = 0 Multiply -4 * 5 2t + 12t + -20n * n = 0 Multiply n * n 2t + 12t + -20n2 = 0 Reorder the terms: -20n2 + 2t + 12t = 0 Combine like terms: 2t + 12t = 14t -20n2 + 14t = 0 Solving -20n2 + 14t = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14t' to each side of the equation. -20n2 + 14t + -14t = 0 + -14t Combine like terms: 14t + -14t = 0 -20n2 + 0 = 0 + -14t -20n2 = 0 + -14t Remove the zero: -20n2 = -14t Divide each side by '-20'. n2 = 0.7t Simplifying n2 = 0.7t Combine like terms: 0.7t + -0.7t = 0.0 n2 + -0.7t = 0.0 The solution to this equation could not be determined.
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