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Simplifying (-6n4)(-7n2 + n) = 0 Remove parenthesis around (-6n4) -6n4(-7n2 + n) = 0 Reorder the terms: -6n4(n + -7n2) = 0 (n * -6n4 + -7n2 * -6n4) = 0 (-6n5 + 42n6) = 0 Solving -6n5 + 42n6 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '6n5'. 6n5(-1 + 7n) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'n5' equal to zero and attempt to solve: Simplifying n5 = 0 Solving n5 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n5 = 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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