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Simplifying N2 + -1N + -37442 = 0 Reorder the terms: -37442 + -1N + N2 = 0 Solving -37442 + -1N + N2 = 0 Solving for variable 'N'. Factor a trinomial. (-193 + -1N)(194 + -1N) = 0Subproblem 1
Set the factor '(-193 + -1N)' equal to zero and attempt to solve: Simplifying -193 + -1N = 0 Solving -193 + -1N = 0 Move all terms containing N to the left, all other terms to the right. Add '193' to each side of the equation. -193 + 193 + -1N = 0 + 193 Combine like terms: -193 + 193 = 0 0 + -1N = 0 + 193 -1N = 0 + 193 Combine like terms: 0 + 193 = 193 -1N = 193 Divide each side by '-1'. N = -193 Simplifying N = -193Subproblem 2
Set the factor '(194 + -1N)' equal to zero and attempt to solve: Simplifying 194 + -1N = 0 Solving 194 + -1N = 0 Move all terms containing N to the left, all other terms to the right. Add '-194' to each side of the equation. 194 + -194 + -1N = 0 + -194 Combine like terms: 194 + -194 = 0 0 + -1N = 0 + -194 -1N = 0 + -194 Combine like terms: 0 + -194 = -194 -1N = -194 Divide each side by '-1'. N = 194 Simplifying N = 194Solution
N = {-193, 194}
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