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Simplifying (4 + -9n)(2 + -3n) = 0 Multiply (4 + -9n) * (2 + -3n) (4(2 + -3n) + -9n * (2 + -3n)) = 0 ((2 * 4 + -3n * 4) + -9n * (2 + -3n)) = 0 ((8 + -12n) + -9n * (2 + -3n)) = 0 (8 + -12n + (2 * -9n + -3n * -9n)) = 0 (8 + -12n + (-18n + 27n2)) = 0 Combine like terms: -12n + -18n = -30n (8 + -30n + 27n2) = 0 Solving 8 + -30n + 27n2 = 0 Solving for variable 'n'. Factor a trinomial. (4 + -9n)(2 + -3n) = 0Subproblem 1
Set the factor '(4 + -9n)' equal to zero and attempt to solve: Simplifying 4 + -9n = 0 Solving 4 + -9n = 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 + -9n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9n = 0 + -4 -9n = 0 + -4 Combine like terms: 0 + -4 = -4 -9n = -4 Divide each side by '-9'. n = 0.4444444444 Simplifying n = 0.4444444444Subproblem 2
Set the factor '(2 + -3n)' equal to zero and attempt to solve: Simplifying 2 + -3n = 0 Solving 2 + -3n = 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 + -3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = 0 + -2 -3n = 0 + -2 Combine like terms: 0 + -2 = -2 -3n = -2 Divide each side by '-3'. n = 0.6666666667 Simplifying n = 0.6666666667Solution
n = {0.4444444444, 0.6666666667}
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