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Simplifying 0 = 0.1006x2 + -0.7232x + 5.5518 Reorder the terms: 0 = 5.5518 + -0.7232x + 0.1006x2 Solving 0 = 5.5518 + -0.7232x + 0.1006x2 Solving for variable 'x'. Combine like terms: 0 + -5.5518 = -5.5518 -5.5518 + 0.7232x + -0.1006x2 = 5.5518 + -0.7232x + 0.1006x2 + -5.5518 + 0.7232x + -0.1006x2 Reorder the terms: -5.5518 + 0.7232x + -0.1006x2 = 5.5518 + -5.5518 + -0.7232x + 0.7232x + 0.1006x2 + -0.1006x2 Combine like terms: 5.5518 + -5.5518 = 0.0000 -5.5518 + 0.7232x + -0.1006x2 = 0.0000 + -0.7232x + 0.7232x + 0.1006x2 + -0.1006x2 -5.5518 + 0.7232x + -0.1006x2 = -0.7232x + 0.7232x + 0.1006x2 + -0.1006x2 Combine like terms: -0.7232x + 0.7232x = 0.0000 -5.5518 + 0.7232x + -0.1006x2 = 0.0000 + 0.1006x2 + -0.1006x2 -5.5518 + 0.7232x + -0.1006x2 = 0.1006x2 + -0.1006x2 Combine like terms: 0.1006x2 + -0.1006x2 = 0.0000 -5.5518 + 0.7232x + -0.1006x2 = 0.0000 Begin completing the square. Divide all terms by -0.1006 the coefficient of the squared term: Divide each side by '-0.1006'. 55.18687873 + -7.188866799x + x2 = 0 Move the constant term to the right: Add '-55.18687873' to each side of the equation. 55.18687873 + -7.188866799x + -55.18687873 + x2 = 0 + -55.18687873 Reorder the terms: 55.18687873 + -55.18687873 + -7.188866799x + x2 = 0 + -55.18687873 Combine like terms: 55.18687873 + -55.18687873 = 0.00000000 0.00000000 + -7.188866799x + x2 = 0 + -55.18687873 -7.188866799x + x2 = 0 + -55.18687873 Combine like terms: 0 + -55.18687873 = -55.18687873 -7.188866799x + x2 = -55.18687873 The x term is -7.188866799x. Take half its coefficient (-3.5944334). Square it (12.91995147) and add it to both sides. Add '12.91995147' to each side of the equation. -7.188866799x + 12.91995147 + x2 = -55.18687873 + 12.91995147 Reorder the terms: 12.91995147 + -7.188866799x + x2 = -55.18687873 + 12.91995147 Combine like terms: -55.18687873 + 12.91995147 = -42.26692726 12.91995147 + -7.188866799x + x2 = -42.26692726 Factor a perfect square on the left side: (x + -3.5944334)(x + -3.5944334) = -42.26692726 Can't calculate square root of the right side. The solution to this equation could not be determined.
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