5n^2-58n+80=0

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Solution for 5n^2-58n+80=0 equation:


Simplifying
5n2 + -58n + 80 = 0

Reorder the terms:
80 + -58n + 5n2 = 0

Solving
80 + -58n + 5n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(8 + -5n)(10 + -1n) = 0

Subproblem 1

Set the factor '(8 + -5n)' equal to zero and attempt to solve: Simplifying 8 + -5n = 0 Solving 8 + -5n = 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 + -5n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5n = 0 + -8 -5n = 0 + -8 Combine like terms: 0 + -8 = -8 -5n = -8 Divide each side by '-5'. n = 1.6 Simplifying n = 1.6

Subproblem 2

Set the factor '(10 + -1n)' equal to zero and attempt to solve: Simplifying 10 + -1n = 0 Solving 10 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 0 + -10 -1n = 0 + -10 Combine like terms: 0 + -10 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10

Solution

n = {1.6, 10}

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