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Simplifying 0.0021a2 + -0.286a + 15.94 = 0 Reorder the terms: 15.94 + -0.286a + 0.0021a2 = 0 Solving 15.94 + -0.286a + 0.0021a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 0.0021 the coefficient of the squared term: Divide each side by '0.0021'. 7590.47619 + -136.1904762a + a2 = 0 Move the constant term to the right: Add '-7590.47619' to each side of the equation. 7590.47619 + -136.1904762a + -7590.47619 + a2 = 0 + -7590.47619 Reorder the terms: 7590.47619 + -7590.47619 + -136.1904762a + a2 = 0 + -7590.47619 Combine like terms: 7590.47619 + -7590.47619 = 0.00000 0.00000 + -136.1904762a + a2 = 0 + -7590.47619 -136.1904762a + a2 = 0 + -7590.47619 Combine like terms: 0 + -7590.47619 = -7590.47619 -136.1904762a + a2 = -7590.47619 The a term is -136.1904762a. Take half its coefficient (-68.0952381). Square it (4636.961452) and add it to both sides. Add '4636.961452' to each side of the equation. -136.1904762a + 4636.961452 + a2 = -7590.47619 + 4636.961452 Reorder the terms: 4636.961452 + -136.1904762a + a2 = -7590.47619 + 4636.961452 Combine like terms: -7590.47619 + 4636.961452 = -2953.514738 4636.961452 + -136.1904762a + a2 = -2953.514738 Factor a perfect square on the left side: (a + -68.0952381)(a + -68.0952381) = -2953.514738 Can't calculate square root of the right side. The solution to this equation could not be determined.
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