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Simplifying n2 = -3n + 4 Reorder the terms: n2 = 4 + -3n Solving n2 = 4 + -3n Solving for variable 'n'. Reorder the terms: -4 + 3n + n2 = 4 + -3n + -4 + 3n Reorder the terms: -4 + 3n + n2 = 4 + -4 + -3n + 3n Combine like terms: 4 + -4 = 0 -4 + 3n + n2 = 0 + -3n + 3n -4 + 3n + n2 = -3n + 3n Combine like terms: -3n + 3n = 0 -4 + 3n + n2 = 0 Factor a trinomial. (-4 + -1n)(1 + -1n) = 0Subproblem 1
Set the factor '(-4 + -1n)' equal to zero and attempt to solve: Simplifying -4 + -1n = 0 Solving -4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1n = 0 + 4 -1n = 0 + 4 Combine like terms: 0 + 4 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 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 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {-4, 1}
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