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Simplifying 28n = 4n2 + 49 Reorder the terms: 28n = 49 + 4n2 Solving 28n = 49 + 4n2 Solving for variable 'n'. Reorder the terms: -49 + 28n + -4n2 = 49 + 4n2 + -49 + -4n2 Reorder the terms: -49 + 28n + -4n2 = 49 + -49 + 4n2 + -4n2 Combine like terms: 49 + -49 = 0 -49 + 28n + -4n2 = 0 + 4n2 + -4n2 -49 + 28n + -4n2 = 4n2 + -4n2 Combine like terms: 4n2 + -4n2 = 0 -49 + 28n + -4n2 = 0 Factor a trinomial. (-7 + 2n)(7 + -2n) = 0Subproblem 1
Set the factor '(-7 + 2n)' equal to zero and attempt to solve: Simplifying -7 + 2n = 0 Solving -7 + 2n = 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 + 2n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2n = 0 + 7 2n = 0 + 7 Combine like terms: 0 + 7 = 7 2n = 7 Divide each side by '2'. n = 3.5 Simplifying n = 3.5Subproblem 2
Set the factor '(7 + -2n)' equal to zero and attempt to solve: Simplifying 7 + -2n = 0 Solving 7 + -2n = 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 + -2n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 0 + -7 -2n = 0 + -7 Combine like terms: 0 + -7 = -7 -2n = -7 Divide each side by '-2'. n = 3.5 Simplifying n = 3.5Solution
n = {3.5, 3.5}
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