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Simplifying -28 + -18n = -16n2 Solving -28 + -18n = -16n2 Solving for variable 'n'. Combine like terms: -16n2 + 16n2 = 0 -28 + -18n + 16n2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + -9n + 8n2) = 0 Factor a trinomial. 2((-7 + -8n)(2 + -1n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -8n)' equal to zero and attempt to solve: Simplifying -7 + -8n = 0 Solving -7 + -8n = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -8n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8n = 0 + 7 -8n = 0 + 7 Combine like terms: 0 + 7 = 7 -8n = 7 Divide each side by '-8'. n = -0.875 Simplifying n = -0.875Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 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 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Solution
n = {-0.875, 2}
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