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Simplifying (5 + -6n4 + 6n4) + (7n3 + -5 + -3n2) = 0 Combine like terms: -6n4 + 6n4 = 0 (5 + 0) + (7n3 + -5 + -3n2) = 0 (5) + (7n3 + -5 + -3n2) = 0 5 + (7n3 + -5 + -3n2) = 0 Reorder the terms: 5 + (-5 + -3n2 + 7n3) = 0 Remove parenthesis around (-5 + -3n2 + 7n3) 5 + -5 + -3n2 + 7n3 = 0 Combine like terms: 5 + -5 = 0 0 + -3n2 + 7n3 = 0 -3n2 + 7n3 = 0 Solving -3n2 + 7n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n2'. n2(-3 + 7n) = 0Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}Subproblem 2
Set the factor '(-3 + 7n)' equal to zero and attempt to solve: Simplifying -3 + 7n = 0 Solving -3 + 7n = 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 + 7n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7n = 0 + 3 7n = 0 + 3 Combine like terms: 0 + 3 = 3 7n = 3 Divide each side by '7'. n = 0.4285714286 Simplifying n = 0.4285714286Solution
n = {0, 0.4285714286}
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