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Simplifying 45n2 + -210n + 245 = 245 Reorder the terms: 245 + -210n + 45n2 = 245 Add '-245' to each side of the equation. 245 + -210n + -245 + 45n2 = 245 + -245 Reorder the terms: 245 + -245 + -210n + 45n2 = 245 + -245 Combine like terms: 245 + -245 = 0 0 + -210n + 45n2 = 245 + -245 -210n + 45n2 = 245 + -245 Combine like terms: 245 + -245 = 0 -210n + 45n2 = 0 Solving -210n + 45n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '15n'. 15n(-14 + 3n) = 0 Ignore the factor 15.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 '(-14 + 3n)' equal to zero and attempt to solve: Simplifying -14 + 3n = 0 Solving -14 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3n = 0 + 14 3n = 0 + 14 Combine like terms: 0 + 14 = 14 3n = 14 Divide each side by '3'. n = 4.666666667 Simplifying n = 4.666666667Solution
n = {0, 4.666666667}
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