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Simplifying 3n2 + 50n + 320 = 0 Reorder the terms: 320 + 50n + 3n2 = 0 Solving 320 + 50n + 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'. 106.6666667 + 16.66666667n + n2 = 0 Move the constant term to the right: Add '-106.6666667' to each side of the equation. 106.6666667 + 16.66666667n + -106.6666667 + n2 = 0 + -106.6666667 Reorder the terms: 106.6666667 + -106.6666667 + 16.66666667n + n2 = 0 + -106.6666667 Combine like terms: 106.6666667 + -106.6666667 = 0.0000000 0.0000000 + 16.66666667n + n2 = 0 + -106.6666667 16.66666667n + n2 = 0 + -106.6666667 Combine like terms: 0 + -106.6666667 = -106.6666667 16.66666667n + n2 = -106.6666667 The n term is 16.66666667n. Take half its coefficient (8.333333335). Square it (69.44444447) and add it to both sides. Add '69.44444447' to each side of the equation. 16.66666667n + 69.44444447 + n2 = -106.6666667 + 69.44444447 Reorder the terms: 69.44444447 + 16.66666667n + n2 = -106.6666667 + 69.44444447 Combine like terms: -106.6666667 + 69.44444447 = -37.22222223 69.44444447 + 16.66666667n + n2 = -37.22222223 Factor a perfect square on the left side: (n + 8.333333335)(n + 8.333333335) = -37.22222223 Can't calculate square root of the right side. The solution to this equation could not be determined.
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