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Simplifying n2p4 + 7np4 + 10p4 = 0 Reorder the terms: 7np4 + n2p4 + 10p4 = 0 Solving 7np4 + n2p4 + 10p4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'p4'. p4(7n + n2 + 10) = 0 Factor a trinomial. p4((n + 2)(n + 5)) = 0Subproblem 1
Set the factor 'p4' equal to zero and attempt to solve: Simplifying p4 = 0 Solving p4 = 0 Move all terms containing n to the left, all other terms to the right. Add '-1p4' to each side of the equation. p4 + -1p4 = 0 + -1p4 Remove the zero: 0 = -1p4 Simplifying 0 = -1p4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(n + 2)' equal to zero and attempt to solve: Simplifying n + 2 = 0 Reorder the terms: 2 + n = 0 Solving 2 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2Subproblem 3
Set the factor '(n + 5)' equal to zero and attempt to solve: Simplifying n + 5 = 0 Reorder the terms: 5 + n = 0 Solving 5 + n = 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 + n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n = 0 + -5 n = 0 + -5 Combine like terms: 0 + -5 = -5 n = -5 Simplifying n = -5Solution
n = {-2, -5}
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