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Simplifying -7n(10n + -6) = 0 Reorder the terms: -7n(-6 + 10n) = 0 (-6 * -7n + 10n * -7n) = 0 (42n + -70n2) = 0 Solving 42n + -70n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '14n'. 14n(3 + -5n) = 0 Ignore the factor 14.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 '(3 + -5n)' equal to zero and attempt to solve: Simplifying 3 + -5n = 0 Solving 3 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5n = 0 + -3 -5n = 0 + -3 Combine like terms: 0 + -3 = -3 -5n = -3 Divide each side by '-5'. n = 0.6 Simplifying n = 0.6Solution
n = {0, 0.6}
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