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Simplifying 0 = 4.9x2 + -2x + 4 Reorder the terms: 0 = 4 + -2x + 4.9x2 Solving 0 = 4 + -2x + 4.9x2 Solving for variable 'x'. Combine like terms: 0 + -4 = -4 -4 + 2x + -4.9x2 = 4 + -2x + 4.9x2 + -4 + 2x + -4.9x2 Reorder the terms: -4 + 2x + -4.9x2 = 4 + -4 + -2x + 2x + 4.9x2 + -4.9x2 Combine like terms: 4 + -4 = 0 -4 + 2x + -4.9x2 = 0 + -2x + 2x + 4.9x2 + -4.9x2 -4 + 2x + -4.9x2 = -2x + 2x + 4.9x2 + -4.9x2 Combine like terms: -2x + 2x = 0 -4 + 2x + -4.9x2 = 0 + 4.9x2 + -4.9x2 -4 + 2x + -4.9x2 = 4.9x2 + -4.9x2 Combine like terms: 4.9x2 + -4.9x2 = 0.0 -4 + 2x + -4.9x2 = 0.0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 0.8163265306 + -0.4081632653x + x2 = 0 Move the constant term to the right: Add '-0.8163265306' to each side of the equation. 0.8163265306 + -0.4081632653x + -0.8163265306 + x2 = 0 + -0.8163265306 Reorder the terms: 0.8163265306 + -0.8163265306 + -0.4081632653x + x2 = 0 + -0.8163265306 Combine like terms: 0.8163265306 + -0.8163265306 = 0.0000000000 0.0000000000 + -0.4081632653x + x2 = 0 + -0.8163265306 -0.4081632653x + x2 = 0 + -0.8163265306 Combine like terms: 0 + -0.8163265306 = -0.8163265306 -0.4081632653x + x2 = -0.8163265306 The x term is -0.4081632653x. Take half its coefficient (-0.2040816327). Square it (0.04164931281) and add it to both sides. Add '0.04164931281' to each side of the equation. -0.4081632653x + 0.04164931281 + x2 = -0.8163265306 + 0.04164931281 Reorder the terms: 0.04164931281 + -0.4081632653x + x2 = -0.8163265306 + 0.04164931281 Combine like terms: -0.8163265306 + 0.04164931281 = -0.77467721779 0.04164931281 + -0.4081632653x + x2 = -0.77467721779 Factor a perfect square on the left side: (x + -0.2040816327)(x + -0.2040816327) = -0.77467721779 Can't calculate square root of the right side. The solution to this equation could not be determined.
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