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Simplifying 1 + -0.8x + 0.84x2 = 0 Solving 1 + -0.8x + 0.84x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.84 the coefficient of the squared term: Divide each side by '0.84'. 1.19047619 + -0.9523809524x + x2 = 0 Move the constant term to the right: Add '-1.19047619' to each side of the equation. 1.19047619 + -0.9523809524x + -1.19047619 + x2 = 0 + -1.19047619 Reorder the terms: 1.19047619 + -1.19047619 + -0.9523809524x + x2 = 0 + -1.19047619 Combine like terms: 1.19047619 + -1.19047619 = 0.00000000 0.00000000 + -0.9523809524x + x2 = 0 + -1.19047619 -0.9523809524x + x2 = 0 + -1.19047619 Combine like terms: 0 + -1.19047619 = -1.19047619 -0.9523809524x + x2 = -1.19047619 The x term is -0.9523809524x. Take half its coefficient (-0.4761904762). Square it (0.2267573696) and add it to both sides. Add '0.2267573696' to each side of the equation. -0.9523809524x + 0.2267573696 + x2 = -1.19047619 + 0.2267573696 Reorder the terms: 0.2267573696 + -0.9523809524x + x2 = -1.19047619 + 0.2267573696 Combine like terms: -1.19047619 + 0.2267573696 = -0.9637188204 0.2267573696 + -0.9523809524x + x2 = -0.9637188204 Factor a perfect square on the left side: (x + -0.4761904762)(x + -0.4761904762) = -0.9637188204 Can't calculate square root of the right side. The solution to this equation could not be determined.
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