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Simplifying 25n2 + 30n = 7 Reorder the terms: 30n + 25n2 = 7 Solving 30n + 25n2 = 7 Solving for variable 'n'. Reorder the terms: -7 + 30n + 25n2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 30n + 25n2 = 0 Factor a trinomial. (-7 + -5n)(1 + -5n) = 0Subproblem 1
Set the factor '(-7 + -5n)' equal to zero and attempt to solve: Simplifying -7 + -5n = 0 Solving -7 + -5n = 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 + -5n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5n = 0 + 7 -5n = 0 + 7 Combine like terms: 0 + 7 = 7 -5n = 7 Divide each side by '-5'. n = -1.4 Simplifying n = -1.4Subproblem 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 = {-1.4, 0.2}
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