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Simplifying (5n + -4)(n + -2) = 0 Reorder the terms: (-4 + 5n)(n + -2) = 0 Reorder the terms: (-4 + 5n)(-2 + n) = 0 Multiply (-4 + 5n) * (-2 + n) (-4(-2 + n) + 5n * (-2 + n)) = 0 ((-2 * -4 + n * -4) + 5n * (-2 + n)) = 0 ((8 + -4n) + 5n * (-2 + n)) = 0 (8 + -4n + (-2 * 5n + n * 5n)) = 0 (8 + -4n + (-10n + 5n2)) = 0 Combine like terms: -4n + -10n = -14n (8 + -14n + 5n2) = 0 Solving 8 + -14n + 5n2 = 0 Solving for variable 'n'. Factor a trinomial. (4 + -5n)(2 + -1n) = 0Subproblem 1
Set the factor '(4 + -5n)' equal to zero and attempt to solve: Simplifying 4 + -5n = 0 Solving 4 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5n = 0 + -4 -5n = 0 + -4 Combine like terms: 0 + -4 = -4 -5n = -4 Divide each side by '-5'. n = 0.8 Simplifying n = 0.8Subproblem 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 = {0.8, 2}
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