21n^2+80n=-64

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Solution for 21n^2+80n=-64 equation:


Simplifying
21n2 + 80n = -64

Reorder the terms:
80n + 21n2 = -64

Solving
80n + 21n2 = -64

Solving for variable 'n'.

Reorder the terms:
64 + 80n + 21n2 = -64 + 64

Combine like terms: -64 + 64 = 0
64 + 80n + 21n2 = 0

Factor a trinomial.
(8 + 3n)(8 + 7n) = 0

Subproblem 1

Set the factor '(8 + 3n)' equal to zero and attempt to solve: Simplifying 8 + 3n = 0 Solving 8 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3n = 0 + -8 3n = 0 + -8 Combine like terms: 0 + -8 = -8 3n = -8 Divide each side by '3'. n = -2.666666667 Simplifying n = -2.666666667

Subproblem 2

Set the factor '(8 + 7n)' equal to zero and attempt to solve: Simplifying 8 + 7n = 0 Solving 8 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7n = 0 + -8 7n = 0 + -8 Combine like terms: 0 + -8 = -8 7n = -8 Divide each side by '7'. n = -1.142857143 Simplifying n = -1.142857143

Solution

n = {-2.666666667, -1.142857143}

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