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Simplifying 21n2 = 4 + -5n Solving 21n2 = 4 + -5n Solving for variable 'n'. Reorder the terms: -4 + 5n + 21n2 = 4 + -5n + -4 + 5n Reorder the terms: -4 + 5n + 21n2 = 4 + -4 + -5n + 5n Combine like terms: 4 + -4 = 0 -4 + 5n + 21n2 = 0 + -5n + 5n -4 + 5n + 21n2 = -5n + 5n Combine like terms: -5n + 5n = 0 -4 + 5n + 21n2 = 0 Factor a trinomial. (-4 + -7n)(1 + -3n) = 0Subproblem 1
Set the factor '(-4 + -7n)' equal to zero and attempt to solve: Simplifying -4 + -7n = 0 Solving -4 + -7n = 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 + -7n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7n = 0 + 4 -7n = 0 + 4 Combine like terms: 0 + 4 = 4 -7n = 4 Divide each side by '-7'. n = -0.5714285714 Simplifying n = -0.5714285714Subproblem 2
Set the factor '(1 + -3n)' equal to zero and attempt to solve: Simplifying 1 + -3n = 0 Solving 1 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = 0 + -1 -3n = 0 + -1 Combine like terms: 0 + -1 = -1 -3n = -1 Divide each side by '-3'. n = 0.3333333333 Simplifying n = 0.3333333333Solution
n = {-0.5714285714, 0.3333333333}
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