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Simplifying 704 = 10.8x + -0.4x2 Solving 704 = 10.8x + -0.4x2 Solving for variable 'x'. Reorder the terms: 704 + -10.8x + 0.4x2 = 10.8x + -10.8x + -0.4x2 + 0.4x2 Combine like terms: 10.8x + -10.8x = 0.0 704 + -10.8x + 0.4x2 = 0.0 + -0.4x2 + 0.4x2 704 + -10.8x + 0.4x2 = -0.4x2 + 0.4x2 Combine like terms: -0.4x2 + 0.4x2 = 0.0 704 + -10.8x + 0.4x2 = 0.0 Begin completing the square. Divide all terms by 0.4 the coefficient of the squared term: Divide each side by '0.4'. 1760 + -27x + x2 = 0 Move the constant term to the right: Add '-1760' to each side of the equation. 1760 + -27x + -1760 + x2 = 0 + -1760 Reorder the terms: 1760 + -1760 + -27x + x2 = 0 + -1760 Combine like terms: 1760 + -1760 = 0 0 + -27x + x2 = 0 + -1760 -27x + x2 = 0 + -1760 Combine like terms: 0 + -1760 = -1760 -27x + x2 = -1760 The x term is -27x. Take half its coefficient (-13.5). Square it (182.25) and add it to both sides. Add '182.25' to each side of the equation. -27x + 182.25 + x2 = -1760 + 182.25 Reorder the terms: 182.25 + -27x + x2 = -1760 + 182.25 Combine like terms: -1760 + 182.25 = -1577.75 182.25 + -27x + x2 = -1577.75 Factor a perfect square on the left side: (x + -13.5)(x + -13.5) = -1577.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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