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Simplifying (17n4 + 2n3) + -1(10n4 + n3) = 0 Reorder the terms: (2n3 + 17n4) + -1(10n4 + n3) = 0 Remove parenthesis around (2n3 + 17n4) 2n3 + 17n4 + -1(10n4 + n3) = 0 Reorder the terms: 2n3 + 17n4 + -1(n3 + 10n4) = 0 2n3 + 17n4 + (n3 * -1 + 10n4 * -1) = 0 2n3 + 17n4 + (-1n3 + -10n4) = 0 Reorder the terms: 2n3 + -1n3 + 17n4 + -10n4 = 0 Combine like terms: 2n3 + -1n3 = 1n3 1n3 + 17n4 + -10n4 = 0 Combine like terms: 17n4 + -10n4 = 7n4 1n3 + 7n4 = 0 Solving 1n3 + 7n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n3'. n3(1 + 7n) = 0Subproblem 1
Set the factor 'n3' equal to zero and attempt to solve: Simplifying n3 = 0 Solving n3 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 7n)' equal to zero and attempt to solve: Simplifying 1 + 7n = 0 Solving 1 + 7n = 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 + 7n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = 0 + -1 7n = 0 + -1 Combine like terms: 0 + -1 = -1 7n = -1 Divide each side by '7'. n = -0.1428571429 Simplifying n = -0.1428571429Solution
n = {-0.1428571429}
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