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Simplifying 8n10 + -8n9 + -336n8 = 0 Reorder the terms: -336n8 + -8n9 + 8n10 = 0 Solving -336n8 + -8n9 + 8n10 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '8n8'. 8n8(-42 + -1n + n2) = 0 Factor a trinomial. 8n8((-6 + -1n)(7 + -1n)) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'n8' equal to zero and attempt to solve: Simplifying n8 = 0 Solving n8 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n8 = 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 '(-6 + -1n)' equal to zero and attempt to solve: Simplifying -6 + -1n = 0 Solving -6 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1n = 0 + 6 -1n = 0 + 6 Combine like terms: 0 + 6 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6Subproblem 3
Set the factor '(7 + -1n)' equal to zero and attempt to solve: Simplifying 7 + -1n = 0 Solving 7 + -1n = 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 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7Solution
n = {-6, 7}
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