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Simplifying 21x2 + -6x + 5 = 0 Reorder the terms: 5 + -6x + 21x2 = 0 Solving 5 + -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'. 0.2380952381 + -0.2857142857x + x2 = 0 Move the constant term to the right: Add '-0.2380952381' to each side of the equation. 0.2380952381 + -0.2857142857x + -0.2380952381 + x2 = 0 + -0.2380952381 Reorder the terms: 0.2380952381 + -0.2380952381 + -0.2857142857x + x2 = 0 + -0.2380952381 Combine like terms: 0.2380952381 + -0.2380952381 = 0.0000000000 0.0000000000 + -0.2857142857x + x2 = 0 + -0.2380952381 -0.2857142857x + x2 = 0 + -0.2380952381 Combine like terms: 0 + -0.2380952381 = -0.2380952381 -0.2857142857x + x2 = -0.2380952381 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 = -0.2380952381 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857x + x2 = -0.2380952381 + 0.02040816328 Combine like terms: -0.2380952381 + 0.02040816328 = -0.21768707482 0.02040816328 + -0.2857142857x + x2 = -0.21768707482 Factor a perfect square on the left side: (x + -0.1428571429)(x + -0.1428571429) = -0.21768707482 Can't calculate square root of the right side. The solution to this equation could not be determined.
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