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Simplifying 6n * n + 37n + -35 = 0 Multiply n * n 6n2 + 37n + -35 = 0 Reorder the terms: -35 + 37n + 6n2 = 0 Solving -35 + 37n + 6n2 = 0 Solving for variable 'n'. Factor a trinomial. (-7 + -1n)(5 + -6n) = 0Subproblem 1
Set the factor '(-7 + -1n)' equal to zero and attempt to solve: Simplifying -7 + -1n = 0 Solving -7 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1n = 0 + 7 -1n = 0 + 7 Combine like terms: 0 + 7 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7Subproblem 2
Set the factor '(5 + -6n)' equal to zero and attempt to solve: Simplifying 5 + -6n = 0 Solving 5 + -6n = 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 + -6n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6n = 0 + -5 -6n = 0 + -5 Combine like terms: 0 + -5 = -5 -6n = -5 Divide each side by '-6'. n = 0.8333333333 Simplifying n = 0.8333333333Solution
n = {-7, 0.8333333333}
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