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Simplifying 10n2 + -17n + 7 = 0 Reorder the terms: 7 + -17n + 10n2 = 0 Solving 7 + -17n + 10n2 = 0 Solving for variable 'n'. Factor a trinomial. (7 + -10n)(1 + -1n) = 0Subproblem 1
Set the factor '(7 + -10n)' equal to zero and attempt to solve: Simplifying 7 + -10n = 0 Solving 7 + -10n = 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 + -10n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10n = 0 + -7 -10n = 0 + -7 Combine like terms: 0 + -7 = -7 -10n = -7 Divide each side by '-10'. n = 0.7 Simplifying n = 0.7Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {0.7, 1}
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