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Simplifying 21x2 + 11x + 40 = 0 Reorder the terms: 40 + 11x + 21x2 = 0 Solving 40 + 11x + 21x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 1.904761905 + 0.5238095238x + x2 = 0 Move the constant term to the right: Add '-1.904761905' to each side of the equation. 1.904761905 + 0.5238095238x + -1.904761905 + x2 = 0 + -1.904761905 Reorder the terms: 1.904761905 + -1.904761905 + 0.5238095238x + x2 = 0 + -1.904761905 Combine like terms: 1.904761905 + -1.904761905 = 0.000000000 0.000000000 + 0.5238095238x + x2 = 0 + -1.904761905 0.5238095238x + x2 = 0 + -1.904761905 Combine like terms: 0 + -1.904761905 = -1.904761905 0.5238095238x + x2 = -1.904761905 The x term is 0.5238095238x. Take half its coefficient (0.2619047619). Square it (0.06859410431) and add it to both sides. Add '0.06859410431' to each side of the equation. 0.5238095238x + 0.06859410431 + x2 = -1.904761905 + 0.06859410431 Reorder the terms: 0.06859410431 + 0.5238095238x + x2 = -1.904761905 + 0.06859410431 Combine like terms: -1.904761905 + 0.06859410431 = -1.83616780069 0.06859410431 + 0.5238095238x + x2 = -1.83616780069 Factor a perfect square on the left side: (x + 0.2619047619)(x + 0.2619047619) = -1.83616780069 Can't calculate square root of the right side. The solution to this equation could not be determined.
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