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Simplifying 5n2 + 94n + -19 = 0 Reorder the terms: -19 + 94n + 5n2 = 0 Solving -19 + 94n + 5n2 = 0 Solving for variable 'n'. Factor a trinomial. (-19 + -1n)(1 + -5n) = 0Subproblem 1
Set the factor '(-19 + -1n)' equal to zero and attempt to solve: Simplifying -19 + -1n = 0 Solving -19 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1n = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1n = 0 + 19 -1n = 0 + 19 Combine like terms: 0 + 19 = 19 -1n = 19 Divide each side by '-1'. n = -19 Simplifying n = -19Subproblem 2
Set the factor '(1 + -5n)' equal to zero and attempt to solve: Simplifying 1 + -5n = 0 Solving 1 + -5n = 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 + -5n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5n = 0 + -1 -5n = 0 + -1 Combine like terms: 0 + -1 = -1 -5n = -1 Divide each side by '-5'. n = 0.2 Simplifying n = 0.2Solution
n = {-19, 0.2}
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