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Simplifying 21x2 + 8x + 2 = 0 Reorder the terms: 2 + 8x + 21x2 = 0 Solving 2 + 8x + 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'. 0.09523809524 + 0.380952381x + x2 = 0 Move the constant term to the right: Add '-0.09523809524' to each side of the equation. 0.09523809524 + 0.380952381x + -0.09523809524 + x2 = 0 + -0.09523809524 Reorder the terms: 0.09523809524 + -0.09523809524 + 0.380952381x + x2 = 0 + -0.09523809524 Combine like terms: 0.09523809524 + -0.09523809524 = 0.00000000000 0.00000000000 + 0.380952381x + x2 = 0 + -0.09523809524 0.380952381x + x2 = 0 + -0.09523809524 Combine like terms: 0 + -0.09523809524 = -0.09523809524 0.380952381x + x2 = -0.09523809524 The x term is 0.380952381x. 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. 0.380952381x + 0.03628117915 + x2 = -0.09523809524 + 0.03628117915 Reorder the terms: 0.03628117915 + 0.380952381x + x2 = -0.09523809524 + 0.03628117915 Combine like terms: -0.09523809524 + 0.03628117915 = -0.05895691609 0.03628117915 + 0.380952381x + x2 = -0.05895691609 Factor a perfect square on the left side: (x + 0.1904761905)(x + 0.1904761905) = -0.05895691609 Can't calculate square root of the right side. The solution to this equation could not be determined.
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