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Simplifying (4n + -5)(7n + -3) = 0 Reorder the terms: (-5 + 4n)(7n + -3) = 0 Reorder the terms: (-5 + 4n)(-3 + 7n) = 0 Multiply (-5 + 4n) * (-3 + 7n) (-5(-3 + 7n) + 4n * (-3 + 7n)) = 0 ((-3 * -5 + 7n * -5) + 4n * (-3 + 7n)) = 0 ((15 + -35n) + 4n * (-3 + 7n)) = 0 (15 + -35n + (-3 * 4n + 7n * 4n)) = 0 (15 + -35n + (-12n + 28n2)) = 0 Combine like terms: -35n + -12n = -47n (15 + -47n + 28n2) = 0 Solving 15 + -47n + 28n2 = 0 Solving for variable 'n'. Factor a trinomial. (3 + -7n)(5 + -4n) = 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 '(5 + -4n)' equal to zero and attempt to solve: Simplifying 5 + -4n = 0 Solving 5 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4n = 0 + -5 -4n = 0 + -5 Combine like terms: 0 + -5 = -5 -4n = -5 Divide each side by '-4'. n = 1.25 Simplifying n = 1.25Solution
n = {0.4285714286, 1.25}
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