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Simplifying (4n2 + -11n) + (5n2 + -4n) = 0 Reorder the terms: (-11n + 4n2) + (5n2 + -4n) = 0 Remove parenthesis around (-11n + 4n2) -11n + 4n2 + (5n2 + -4n) = 0 Reorder the terms: -11n + 4n2 + (-4n + 5n2) = 0 Remove parenthesis around (-4n + 5n2) -11n + 4n2 + -4n + 5n2 = 0 Reorder the terms: -11n + -4n + 4n2 + 5n2 = 0 Combine like terms: -11n + -4n = -15n -15n + 4n2 + 5n2 = 0 Combine like terms: 4n2 + 5n2 = 9n2 -15n + 9n2 = 0 Solving -15n + 9n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(-5 + 3n) = 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 '(-5 + 3n)' equal to zero and attempt to solve: Simplifying -5 + 3n = 0 Solving -5 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3n = 0 + 5 3n = 0 + 5 Combine like terms: 0 + 5 = 5 3n = 5 Divide each side by '3'. n = 1.666666667 Simplifying n = 1.666666667Solution
n = {0, 1.666666667}
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