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Simplifying 21n2 + -8n + 4 = 0 Reorder the terms: 4 + -8n + 21n2 = 0 Solving 4 + -8n + 21n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.1904761905 + -0.380952381n + n2 = 0 Move the constant term to the right: Add '-0.1904761905' to each side of the equation. 0.1904761905 + -0.380952381n + -0.1904761905 + n2 = 0 + -0.1904761905 Reorder the terms: 0.1904761905 + -0.1904761905 + -0.380952381n + n2 = 0 + -0.1904761905 Combine like terms: 0.1904761905 + -0.1904761905 = 0.0000000000 0.0000000000 + -0.380952381n + n2 = 0 + -0.1904761905 -0.380952381n + n2 = 0 + -0.1904761905 Combine like terms: 0 + -0.1904761905 = -0.1904761905 -0.380952381n + n2 = -0.1904761905 The n term is -0.380952381n. Take half its coefficient (-0.1904761905). Square it (0.03628117915) and add it to both sides. Add '0.03628117915' to each side of the equation. -0.380952381n + 0.03628117915 + n2 = -0.1904761905 + 0.03628117915 Reorder the terms: 0.03628117915 + -0.380952381n + n2 = -0.1904761905 + 0.03628117915 Combine like terms: -0.1904761905 + 0.03628117915 = -0.15419501135 0.03628117915 + -0.380952381n + n2 = -0.15419501135 Factor a perfect square on the left side: (n + -0.1904761905)(n + -0.1904761905) = -0.15419501135 Can't calculate square root of the right side. The solution to this equation could not be determined.
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