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Simplifying 3n2 + 603n + -16200 = 0 Reorder the terms: -16200 + 603n + 3n2 = 0 Solving -16200 + 603n + 3n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3'. 3(-5400 + 201n + n2) = 0 Factor a trinomial. 3((-225 + -1n)(24 + -1n)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-225 + -1n)' equal to zero and attempt to solve: Simplifying -225 + -1n = 0 Solving -225 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '225' to each side of the equation. -225 + 225 + -1n = 0 + 225 Combine like terms: -225 + 225 = 0 0 + -1n = 0 + 225 -1n = 0 + 225 Combine like terms: 0 + 225 = 225 -1n = 225 Divide each side by '-1'. n = -225 Simplifying n = -225Subproblem 2
Set the factor '(24 + -1n)' equal to zero and attempt to solve: Simplifying 24 + -1n = 0 Solving 24 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1n = 0 + -24 -1n = 0 + -24 Combine like terms: 0 + -24 = -24 -1n = -24 Divide each side by '-1'. n = 24 Simplifying n = 24Solution
n = {-225, 24}
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