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Simplifying 70 = n2 + -3n Reorder the terms: 70 = -3n + n2 Solving 70 = -3n + n2 Solving for variable 'n'. Reorder the terms: 70 + 3n + -1n2 = -3n + 3n + n2 + -1n2 Combine like terms: -3n + 3n = 0 70 + 3n + -1n2 = 0 + n2 + -1n2 70 + 3n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 70 + 3n + -1n2 = 0 Factor a trinomial. (10 + -1n)(7 + n) = 0Subproblem 1
Set the factor '(10 + -1n)' equal to zero and attempt to solve: Simplifying 10 + -1n = 0 Solving 10 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 0 + -10 -1n = 0 + -10 Combine like terms: 0 + -10 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10Subproblem 2
Set the factor '(7 + n)' equal to zero and attempt to solve: Simplifying 7 + n = 0 Solving 7 + n = 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 + n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + n = 0 + -7 n = 0 + -7 Combine like terms: 0 + -7 = -7 n = -7 Simplifying n = -7Solution
n = {10, -7}
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