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Simplifying 6n2 + -7n = 143 Reorder the terms: -7n + 6n2 = 143 Solving -7n + 6n2 = 143 Solving for variable 'n'. Reorder the terms: -143 + -7n + 6n2 = 143 + -143 Combine like terms: 143 + -143 = 0 -143 + -7n + 6n2 = 0 Factor a trinomial. (-13 + -3n)(11 + -2n) = 0Subproblem 1
Set the factor '(-13 + -3n)' equal to zero and attempt to solve: Simplifying -13 + -3n = 0 Solving -13 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3n = 0 + 13 -3n = 0 + 13 Combine like terms: 0 + 13 = 13 -3n = 13 Divide each side by '-3'. n = -4.333333333 Simplifying n = -4.333333333Subproblem 2
Set the factor '(11 + -2n)' equal to zero and attempt to solve: Simplifying 11 + -2n = 0 Solving 11 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2n = 0 + -11 -2n = 0 + -11 Combine like terms: 0 + -11 = -11 -2n = -11 Divide each side by '-2'. n = 5.5 Simplifying n = 5.5Solution
n = {-4.333333333, 5.5}
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