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Simplifying 15n2 + -26n + -21 = 0 Reorder the terms: -21 + -26n + 15n2 = 0 Solving -21 + -26n + 15n2 = 0 Solving for variable 'n'. Factor a trinomial. (-3 + -5n)(7 + -3n) = 0Subproblem 1
Set the factor '(-3 + -5n)' equal to zero and attempt to solve: Simplifying -3 + -5n = 0 Solving -3 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5n = 0 + 3 -5n = 0 + 3 Combine like terms: 0 + 3 = 3 -5n = 3 Divide each side by '-5'. n = -0.6 Simplifying n = -0.6Subproblem 2
Set the factor '(7 + -3n)' equal to zero and attempt to solve: Simplifying 7 + -3n = 0 Solving 7 + -3n = 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 + -3n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = 0 + -7 -3n = 0 + -7 Combine like terms: 0 + -7 = -7 -3n = -7 Divide each side by '-3'. n = 2.333333333 Simplifying n = 2.333333333Solution
n = {-0.6, 2.333333333}
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