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Simplifying 35n2 + 22n + 3 = 0 Reorder the terms: 3 + 22n + 35n2 = 0 Solving 3 + 22n + 35n2 = 0 Solving for variable 'n'. Factor a trinomial. (3 + 7n)(1 + 5n) = 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 '(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 = {-0.4285714286, -0.2}
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