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Simplifying 21n2 = 25 + -20n Solving 21n2 = 25 + -20n Solving for variable 'n'. Reorder the terms: -25 + 20n + 21n2 = 25 + -20n + -25 + 20n Reorder the terms: -25 + 20n + 21n2 = 25 + -25 + -20n + 20n Combine like terms: 25 + -25 = 0 -25 + 20n + 21n2 = 0 + -20n + 20n -25 + 20n + 21n2 = -20n + 20n Combine like terms: -20n + 20n = 0 -25 + 20n + 21n2 = 0 Factor a trinomial. (-5 + -3n)(5 + -7n) = 0Subproblem 1
Set the factor '(-5 + -3n)' equal to zero and attempt to solve: Simplifying -5 + -3n = 0 Solving -5 + -3n = 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 + -3n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3n = 0 + 5 -3n = 0 + 5 Combine like terms: 0 + 5 = 5 -3n = 5 Divide each side by '-3'. n = -1.666666667 Simplifying n = -1.666666667Subproblem 2
Set the factor '(5 + -7n)' equal to zero and attempt to solve: Simplifying 5 + -7n = 0 Solving 5 + -7n = 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 + -7n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7n = 0 + -5 -7n = 0 + -5 Combine like terms: 0 + -5 = -5 -7n = -5 Divide each side by '-7'. n = 0.7142857143 Simplifying n = 0.7142857143Solution
n = {-1.666666667, 0.7142857143}
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