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Simplifying 15n2 + -22n = 5n Reorder the terms: -22n + 15n2 = 5n Solving -22n + 15n2 = 5n Solving for variable 'n'. Reorder the terms: -22n + -5n + 15n2 = 5n + -5n Combine like terms: -22n + -5n = -27n -27n + 15n2 = 5n + -5n Combine like terms: 5n + -5n = 0 -27n + 15n2 = 0 Factor out the Greatest Common Factor (GCF), '3n'. 3n(-9 + 5n) = 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 '(-9 + 5n)' equal to zero and attempt to solve: Simplifying -9 + 5n = 0 Solving -9 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5n = 0 + 9 5n = 0 + 9 Combine like terms: 0 + 9 = 9 5n = 9 Divide each side by '5'. n = 1.8 Simplifying n = 1.8Solution
n = {0, 1.8}
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