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Simplifying 25n2 + -57n + 14 = 0 Reorder the terms: 14 + -57n + 25n2 = 0 Solving 14 + -57n + 25n2 = 0 Solving for variable 'n'. Factor a trinomial. (7 + -25n)(2 + -1n) = 0Subproblem 1
Set the factor '(7 + -25n)' equal to zero and attempt to solve: Simplifying 7 + -25n = 0 Solving 7 + -25n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -25n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -25n = 0 + -7 -25n = 0 + -7 Combine like terms: 0 + -7 = -7 -25n = -7 Divide each side by '-25'. n = 0.28 Simplifying n = 0.28Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Solution
n = {0.28, 2}
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