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Simplifying 35n2 + -8 = -33n Reorder the terms: -8 + 35n2 = -33n Solving -8 + 35n2 = -33n Solving for variable 'n'. Reorder the terms: -8 + 33n + 35n2 = -33n + 33n Combine like terms: -33n + 33n = 0 -8 + 33n + 35n2 = 0 Factor a trinomial. (-8 + -7n)(1 + -5n) = 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 + -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 = {-1.142857143, 0.2}
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