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Simplifying 3n2 + -3n + 4 = 0 Reorder the terms: 4 + -3n + 3n2 = 0 Solving 4 + -3n + 3n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.333333333 + -1n + n2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + -1n + -1.333333333 + n2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + -1n + n2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + -1n + n2 = 0 + -1.333333333 -1n + n2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 -1n + n2 = -1.333333333 The n term is -1n. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1n + 0.25 + n2 = -1.333333333 + 0.25 Reorder the terms: 0.25 + -1n + n2 = -1.333333333 + 0.25 Combine like terms: -1.333333333 + 0.25 = -1.083333333 0.25 + -1n + n2 = -1.083333333 Factor a perfect square on the left side: (n + -0.5)(n + -0.5) = -1.083333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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