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Simplifying 5N2 + -47N + 56 = 0 Reorder the terms: 56 + -47N + 5N2 = 0 Solving 56 + -47N + 5N2 = 0 Solving for variable 'N'. Factor a trinomial. (7 + -5N)(8 + -1N) = 0Subproblem 1
Set the factor '(7 + -5N)' equal to zero and attempt to solve: Simplifying 7 + -5N = 0 Solving 7 + -5N = 0 Move all terms containing N to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5N = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5N = 0 + -7 -5N = 0 + -7 Combine like terms: 0 + -7 = -7 -5N = -7 Divide each side by '-5'. N = 1.4 Simplifying N = 1.4Subproblem 2
Set the factor '(8 + -1N)' equal to zero and attempt to solve: Simplifying 8 + -1N = 0 Solving 8 + -1N = 0 Move all terms containing N to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1N = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1N = 0 + -8 -1N = 0 + -8 Combine like terms: 0 + -8 = -8 -1N = -8 Divide each side by '-1'. N = 8 Simplifying N = 8Solution
N = {1.4, 8}
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