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Simplifying 6n2 + -35n + -49 = 0 Reorder the terms: -49 + -35n + 6n2 = 0 Solving -49 + -35n + 6n2 = 0 Solving for variable 'n'. Factor a trinomial. (-7 + -6n)(7 + -1n) = 0Subproblem 1
Set the factor '(-7 + -6n)' equal to zero and attempt to solve: Simplifying -7 + -6n = 0 Solving -7 + -6n = 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 + -6n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6n = 0 + 7 -6n = 0 + 7 Combine like terms: 0 + 7 = 7 -6n = 7 Divide each side by '-6'. n = -1.166666667 Simplifying n = -1.166666667Subproblem 2
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 = 7Solution
n = {-1.166666667, 7}
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