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Simplifying 0.5x2 + -0.3x + 6.858 = 0 Reorder the terms: 6.858 + -0.3x + 0.5x2 = 0 Solving 6.858 + -0.3x + 0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 13.716 + -0.6x + x2 = 0 Move the constant term to the right: Add '-13.716' to each side of the equation. 13.716 + -0.6x + -13.716 + x2 = 0 + -13.716 Reorder the terms: 13.716 + -13.716 + -0.6x + x2 = 0 + -13.716 Combine like terms: 13.716 + -13.716 = 0.000 0.000 + -0.6x + x2 = 0 + -13.716 -0.6x + x2 = 0 + -13.716 Combine like terms: 0 + -13.716 = -13.716 -0.6x + x2 = -13.716 The x term is -0.6x. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6x + 0.09 + x2 = -13.716 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -13.716 + 0.09 Combine like terms: -13.716 + 0.09 = -13.626 0.09 + -0.6x + x2 = -13.626 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -13.626 Can't calculate square root of the right side. The solution to this equation could not be determined.
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