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Simplifying 21x2 + -6x + 13 = 0 Reorder the terms: 13 + -6x + 21x2 = 0 Solving 13 + -6x + 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'. 0.619047619 + -0.2857142857x + x2 = 0 Move the constant term to the right: Add '-0.619047619' to each side of the equation. 0.619047619 + -0.2857142857x + -0.619047619 + x2 = 0 + -0.619047619 Reorder the terms: 0.619047619 + -0.619047619 + -0.2857142857x + x2 = 0 + -0.619047619 Combine like terms: 0.619047619 + -0.619047619 = 0.000000000 0.000000000 + -0.2857142857x + x2 = 0 + -0.619047619 -0.2857142857x + x2 = 0 + -0.619047619 Combine like terms: 0 + -0.619047619 = -0.619047619 -0.2857142857x + x2 = -0.619047619 The x term is -0.2857142857x. Take half its coefficient (-0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. -0.2857142857x + 0.02040816328 + x2 = -0.619047619 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857x + x2 = -0.619047619 + 0.02040816328 Combine like terms: -0.619047619 + 0.02040816328 = -0.59863945572 0.02040816328 + -0.2857142857x + x2 = -0.59863945572 Factor a perfect square on the left side: (x + -0.1428571429)(x + -0.1428571429) = -0.59863945572 Can't calculate square root of the right side. The solution to this equation could not be determined.
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