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Simplifying 10n2 + 15n + 8 = 3n2 Reorder the terms: 8 + 15n + 10n2 = 3n2 Solving 8 + 15n + 10n2 = 3n2 Solving for variable 'n'. Combine like terms: 10n2 + -3n2 = 7n2 8 + 15n + 7n2 = 3n2 + -3n2 Combine like terms: 3n2 + -3n2 = 0 8 + 15n + 7n2 = 0 Factor a trinomial. (8 + 7n)(1 + n) = 0Subproblem 1
Set the factor '(8 + 7n)' equal to zero and attempt to solve: Simplifying 8 + 7n = 0 Solving 8 + 7n = 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 + 7n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7n = 0 + -8 7n = 0 + -8 Combine like terms: 0 + -8 = -8 7n = -8 Divide each side by '7'. n = -1.142857143 Simplifying n = -1.142857143Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 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 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1Solution
n = {-1.142857143, -1}
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