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Simplifying 54n2 + -70n + 55 = 0 Reorder the terms: 55 + -70n + 54n2 = 0 Solving 55 + -70n + 54n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 54 the coefficient of the squared term: Divide each side by '54'. 1.018518519 + -1.296296296n + n2 = 0 Move the constant term to the right: Add '-1.018518519' to each side of the equation. 1.018518519 + -1.296296296n + -1.018518519 + n2 = 0 + -1.018518519 Reorder the terms: 1.018518519 + -1.018518519 + -1.296296296n + n2 = 0 + -1.018518519 Combine like terms: 1.018518519 + -1.018518519 = 0.000000000 0.000000000 + -1.296296296n + n2 = 0 + -1.018518519 -1.296296296n + n2 = 0 + -1.018518519 Combine like terms: 0 + -1.018518519 = -1.018518519 -1.296296296n + n2 = -1.018518519 The n term is -1.296296296n. Take half its coefficient (-0.648148148). Square it (0.4200960218) and add it to both sides. Add '0.4200960218' to each side of the equation. -1.296296296n + 0.4200960218 + n2 = -1.018518519 + 0.4200960218 Reorder the terms: 0.4200960218 + -1.296296296n + n2 = -1.018518519 + 0.4200960218 Combine like terms: -1.018518519 + 0.4200960218 = -0.5984224972 0.4200960218 + -1.296296296n + n2 = -0.5984224972 Factor a perfect square on the left side: (n + -0.648148148)(n + -0.648148148) = -0.5984224972 Can't calculate square root of the right side. The solution to this equation could not be determined.
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