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Simplifying (4n4 + -3n3 + -7n) + -1(6n3 + -4n + -8n4) = 0 Reorder the terms: (-7n + -3n3 + 4n4) + -1(6n3 + -4n + -8n4) = 0 Remove parenthesis around (-7n + -3n3 + 4n4) -7n + -3n3 + 4n4 + -1(6n3 + -4n + -8n4) = 0 Reorder the terms: -7n + -3n3 + 4n4 + -1(-4n + 6n3 + -8n4) = 0 -7n + -3n3 + 4n4 + (-4n * -1 + 6n3 * -1 + -8n4 * -1) = 0 -7n + -3n3 + 4n4 + (4n + -6n3 + 8n4) = 0 Reorder the terms: -7n + 4n + -3n3 + -6n3 + 4n4 + 8n4 = 0 Combine like terms: -7n + 4n = -3n -3n + -3n3 + -6n3 + 4n4 + 8n4 = 0 Combine like terms: -3n3 + -6n3 = -9n3 -3n + -9n3 + 4n4 + 8n4 = 0 Combine like terms: 4n4 + 8n4 = 12n4 -3n + -9n3 + 12n4 = 0 Solving -3n + -9n3 + 12n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(-1 + -3n2 + 4n3) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-1 + -3n2 + 4n3)' equal to zero and attempt to solve: Simplifying -1 + -3n2 + 4n3 = 0 Solving -1 + -3n2 + 4n3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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