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Simplifying N(n + 5) + 4(-1n + 3n2) = 0 Reorder the terms: N(5 + n) + 4(-1n + 3n2) = 0 (5 * N + n * N) + 4(-1n + 3n2) = 0 (5N + nN) + 4(-1n + 3n2) = 0 5N + nN + (-1n * 4 + 3n2 * 4) = 0 5N + nN + (-4n + 12n2) = 0 Reorder the terms: 5N + -4n + nN + 12n2 = 0 Solving 5N + -4n + nN + 12n2 = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '4n' to each side of the equation. 5N + -4n + nN + 4n + 12n2 = 0 + 4n Reorder the terms: 5N + -4n + 4n + nN + 12n2 = 0 + 4n Combine like terms: -4n + 4n = 0 5N + 0 + nN + 12n2 = 0 + 4n 5N + nN + 12n2 = 0 + 4n Remove the zero: 5N + nN + 12n2 = 4n Add '-12n2' to each side of the equation. 5N + nN + 12n2 + -12n2 = 4n + -12n2 Combine like terms: 12n2 + -12n2 = 0 5N + nN + 0 = 4n + -12n2 5N + nN = 4n + -12n2 Reorder the terms: 5N + -4n + nN + 12n2 = 4n + -12n2 + -4n + 12n2 Reorder the terms: 5N + -4n + nN + 12n2 = 4n + -4n + -12n2 + 12n2 Combine like terms: 4n + -4n = 0 5N + -4n + nN + 12n2 = 0 + -12n2 + 12n2 5N + -4n + nN + 12n2 = -12n2 + 12n2 Combine like terms: -12n2 + 12n2 = 0 5N + -4n + nN + 12n2 = 0 The solution to this equation could not be determined.
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