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Simplifying 0.8x2 + 2.6x = -3.2 Reorder the terms: 2.6x + 0.8x2 = -3.2 Solving 2.6x + 0.8x2 = -3.2 Solving for variable 'x'. Reorder the terms: 3.2 + 2.6x + 0.8x2 = -3.2 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 3.2 + 2.6x + 0.8x2 = 0.0 Begin completing the square. Divide all terms by 0.8 the coefficient of the squared term: Divide each side by '0.8'. 4 + 3.25x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 3.25x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 3.25x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3.25x + x2 = 0 + -4 3.25x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3.25x + x2 = -4 The x term is 3.25x. Take half its coefficient (1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. 3.25x + 2.640625 + x2 = -4 + 2.640625 Reorder the terms: 2.640625 + 3.25x + x2 = -4 + 2.640625 Combine like terms: -4 + 2.640625 = -1.359375 2.640625 + 3.25x + x2 = -1.359375 Factor a perfect square on the left side: (x + 1.625)(x + 1.625) = -1.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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