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Simplifying n2 + 7n = 25 * 18 Reorder the terms: 7n + n2 = 25 * 18 Multiply 25 * 18 7n + n2 = 450 Solving 7n + n2 = 450 Solving for variable 'n'. Reorder the terms: -450 + 7n + n2 = 450 + -450 Combine like terms: 450 + -450 = 0 -450 + 7n + n2 = 0 Factor a trinomial. (-25 + -1n)(18 + -1n) = 0Subproblem 1
Set the factor '(-25 + -1n)' equal to zero and attempt to solve: Simplifying -25 + -1n = 0 Solving -25 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1n = 0 + 25 -1n = 0 + 25 Combine like terms: 0 + 25 = 25 -1n = 25 Divide each side by '-1'. n = -25 Simplifying n = -25Subproblem 2
Set the factor '(18 + -1n)' equal to zero and attempt to solve: Simplifying 18 + -1n = 0 Solving 18 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1n = 0 + -18 -1n = 0 + -18 Combine like terms: 0 + -18 = -18 -1n = -18 Divide each side by '-1'. n = 18 Simplifying n = 18Solution
n = {-25, 18}
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