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Simplifying 33n2 + 13n + 10 = 0 Reorder the terms: 10 + 13n + 33n2 = 0 Solving 10 + 13n + 33n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 33 the coefficient of the squared term: Divide each side by '33'. 0.303030303 + 0.3939393939n + n2 = 0 Move the constant term to the right: Add '-0.303030303' to each side of the equation. 0.303030303 + 0.3939393939n + -0.303030303 + n2 = 0 + -0.303030303 Reorder the terms: 0.303030303 + -0.303030303 + 0.3939393939n + n2 = 0 + -0.303030303 Combine like terms: 0.303030303 + -0.303030303 = 0.000000000 0.000000000 + 0.3939393939n + n2 = 0 + -0.303030303 0.3939393939n + n2 = 0 + -0.303030303 Combine like terms: 0 + -0.303030303 = -0.303030303 0.3939393939n + n2 = -0.303030303 The n term is 0.3939393939n. Take half its coefficient (0.196969697). Square it (0.03879706154) and add it to both sides. Add '0.03879706154' to each side of the equation. 0.3939393939n + 0.03879706154 + n2 = -0.303030303 + 0.03879706154 Reorder the terms: 0.03879706154 + 0.3939393939n + n2 = -0.303030303 + 0.03879706154 Combine like terms: -0.303030303 + 0.03879706154 = -0.26423324146 0.03879706154 + 0.3939393939n + n2 = -0.26423324146 Factor a perfect square on the left side: (n + 0.196969697)(n + 0.196969697) = -0.26423324146 Can't calculate square root of the right side. The solution to this equation could not be determined.
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