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Simplifying 7n * n + -39n + -18 = 0 Multiply n * n 7n2 + -39n + -18 = 0 Reorder the terms: -18 + -39n + 7n2 = 0 Solving -18 + -39n + 7n2 = 0 Solving for variable 'n'. Factor a trinomial. (-3 + -7n)(6 + -1n) = 0Subproblem 1
Set the factor '(-3 + -7n)' equal to zero and attempt to solve: Simplifying -3 + -7n = 0 Solving -3 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7n = 0 + 3 -7n = 0 + 3 Combine like terms: 0 + 3 = 3 -7n = 3 Divide each side by '-7'. n = -0.4285714286 Simplifying n = -0.4285714286Subproblem 2
Set the factor '(6 + -1n)' equal to zero and attempt to solve: Simplifying 6 + -1n = 0 Solving 6 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = 0 + -6 -1n = 0 + -6 Combine like terms: 0 + -6 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6Solution
n = {-0.4285714286, 6}
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