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Simplifying 56 = n2 + n Reorder the terms: 56 = n + n2 Solving 56 = n + n2 Solving for variable 'n'. Reorder the terms: 56 + -1n + -1n2 = n + -1n + n2 + -1n2 Combine like terms: n + -1n = 0 56 + -1n + -1n2 = 0 + n2 + -1n2 56 + -1n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 56 + -1n + -1n2 = 0 Factor a trinomial. (7 + -1n)(8 + n) = 0Subproblem 1
Set the factor '(7 + -1n)' equal to zero and attempt to solve: Simplifying 7 + -1n = 0 Solving 7 + -1n = 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 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7Subproblem 2
Set the factor '(8 + n)' equal to zero and attempt to solve: Simplifying 8 + n = 0 Solving 8 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + n = 0 + -8 n = 0 + -8 Combine like terms: 0 + -8 = -8 n = -8 Simplifying n = -8Solution
n = {7, -8}
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