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Simplifying (5n + -6)(7n + -4) = 0 Reorder the terms: (-6 + 5n)(7n + -4) = 0 Reorder the terms: (-6 + 5n)(-4 + 7n) = 0 Multiply (-6 + 5n) * (-4 + 7n) (-6(-4 + 7n) + 5n * (-4 + 7n)) = 0 ((-4 * -6 + 7n * -6) + 5n * (-4 + 7n)) = 0 ((24 + -42n) + 5n * (-4 + 7n)) = 0 (24 + -42n + (-4 * 5n + 7n * 5n)) = 0 (24 + -42n + (-20n + 35n2)) = 0 Combine like terms: -42n + -20n = -62n (24 + -62n + 35n2) = 0 Solving 24 + -62n + 35n2 = 0 Solving for variable 'n'. Factor a trinomial. (4 + -7n)(6 + -5n) = 0Subproblem 1
Set the factor '(4 + -7n)' equal to zero and attempt to solve: Simplifying 4 + -7n = 0 Solving 4 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7n = 0 + -4 -7n = 0 + -4 Combine like terms: 0 + -4 = -4 -7n = -4 Divide each side by '-7'. n = 0.5714285714 Simplifying n = 0.5714285714Subproblem 2
Set the factor '(6 + -5n)' equal to zero and attempt to solve: Simplifying 6 + -5n = 0 Solving 6 + -5n = 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 + -5n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5n = 0 + -6 -5n = 0 + -6 Combine like terms: 0 + -6 = -6 -5n = -6 Divide each side by '-5'. n = 1.2 Simplifying n = 1.2Solution
n = {0.5714285714, 1.2}
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