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Simplifying -26x2 + -3x + 4 + 5x2 + 5x + -12 = 0 Reorder the terms: 4 + -12 + -3x + 5x + -26x2 + 5x2 = 0 Combine like terms: 4 + -12 = -8 -8 + -3x + 5x + -26x2 + 5x2 = 0 Combine like terms: -3x + 5x = 2x -8 + 2x + -26x2 + 5x2 = 0 Combine like terms: -26x2 + 5x2 = -21x2 -8 + 2x + -21x2 = 0 Solving -8 + 2x + -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'. 0.380952381 + -0.09523809524x + x2 = 0 Move the constant term to the right: Add '-0.380952381' to each side of the equation. 0.380952381 + -0.09523809524x + -0.380952381 + x2 = 0 + -0.380952381 Reorder the terms: 0.380952381 + -0.380952381 + -0.09523809524x + x2 = 0 + -0.380952381 Combine like terms: 0.380952381 + -0.380952381 = 0.000000000 0.000000000 + -0.09523809524x + x2 = 0 + -0.380952381 -0.09523809524x + x2 = 0 + -0.380952381 Combine like terms: 0 + -0.380952381 = -0.380952381 -0.09523809524x + x2 = -0.380952381 The x term is -0.09523809524x. Take half its coefficient (-0.04761904762). Square it (0.002267573696) and add it to both sides. Add '0.002267573696' to each side of the equation. -0.09523809524x + 0.002267573696 + x2 = -0.380952381 + 0.002267573696 Reorder the terms: 0.002267573696 + -0.09523809524x + x2 = -0.380952381 + 0.002267573696 Combine like terms: -0.380952381 + 0.002267573696 = -0.378684807304 0.002267573696 + -0.09523809524x + x2 = -0.378684807304 Factor a perfect square on the left side: (x + -0.04761904762)(x + -0.04761904762) = -0.378684807304 Can't calculate square root of the right side. The solution to this equation could not be determined.
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