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Simplifying 21x2 + -11x + 9 = 0 Reorder the terms: 9 + -11x + 21x2 = 0 Solving 9 + -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'. 0.4285714286 + -0.5238095238x + x2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + -0.5238095238x + -0.4285714286 + x2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + -0.5238095238x + x2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + -0.5238095238x + x2 = 0 + -0.4285714286 -0.5238095238x + x2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 -0.5238095238x + x2 = -0.4285714286 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 = -0.4285714286 + 0.06859410431 Reorder the terms: 0.06859410431 + -0.5238095238x + x2 = -0.4285714286 + 0.06859410431 Combine like terms: -0.4285714286 + 0.06859410431 = -0.35997732429 0.06859410431 + -0.5238095238x + x2 = -0.35997732429 Factor a perfect square on the left side: (x + -0.2619047619)(x + -0.2619047619) = -0.35997732429 Can't calculate square root of the right side. The solution to this equation could not be determined.
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