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Simplifying 6.2 = (0.0021x2) + -1(0.286x) + 16.28 Remove parenthesis around (0.286x) 6.2 = (0.0021x2) + -1 * 0.286x + 16.28 Multiply -1 * 0.286 6.2 = (0.0021x2) + -0.286x + 16.28 Reorder the terms: 6.2 = 16.28 + -0.286x + (0.0021x2) Solving 6.2 = 16.28 + -0.286x + (0.0021x2) Solving for variable 'x'. Combine like terms: 6.2 + -16.28 = -10.08 -10.08 + 0.286x + (-0.0021x2) = 16.28 + -0.286x + (0.0021x2) + -16.28 + 0.286x + (-0.0021x2) Reorder the terms: -10.08 + 0.286x + (-0.0021x2) = 16.28 + -16.28 + -0.286x + 0.286x + (0.0021x2) + (-0.0021x2) Combine like terms: 16.28 + -16.28 = 0.00 -10.08 + 0.286x + (-0.0021x2) = 0.00 + -0.286x + 0.286x + (0.0021x2) + (-0.0021x2) -10.08 + 0.286x + (-0.0021x2) = -0.286x + 0.286x + (0.0021x2) + (-0.0021x2) Combine like terms: -0.286x + 0.286x = 0.000 -10.08 + 0.286x + (-0.0021x2) = 0.000 + (0.0021x2) + (-0.0021x2) -10.08 + 0.286x + (-0.0021x2) = (0.0021x2) + (-0.0021x2) Combine like terms: (0.0021x2) + (-0.0021x2) = 0.0000 -10.08 + 0.286x + (-0.0021x2) = 0.0000 Begin completing the square. Divide all terms by -0.0021 the coefficient of the squared term: Divide each side by '-0.0021'. 4800 + -136.1904762x + x2 = 0 Move the constant term to the right: Add '-4800' to each side of the equation. 4800 + -136.1904762x + -4800 + x2 = 0 + -4800 Reorder the terms: 4800 + -4800 + -136.1904762x + x2 = 0 + -4800 Combine like terms: 4800 + -4800 = 0 0 + -136.1904762x + x2 = 0 + -4800 -136.1904762x + x2 = 0 + -4800 Combine like terms: 0 + -4800 = -4800 -136.1904762x + x2 = -4800 The x term is -136.1904762x. 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. -136.1904762x + 4636.961452 + x2 = -4800 + 4636.961452 Reorder the terms: 4636.961452 + -136.1904762x + x2 = -4800 + 4636.961452 Combine like terms: -4800 + 4636.961452 = -163.038548 4636.961452 + -136.1904762x + x2 = -163.038548 Factor a perfect square on the left side: ((x) + -68.0952381)((x) + -68.0952381) = -163.038548 Can't calculate square root of the right side. The solution to this equation could not be determined.
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