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Simplifying 8x2 + -12x + 19 = 0 Reorder the terms: 19 + -12x + 8x2 = 0 Solving 19 + -12x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2.375 + -1.5x + x2 = 0 Move the constant term to the right: Add '-2.375' to each side of the equation. 2.375 + -1.5x + -2.375 + x2 = 0 + -2.375 Reorder the terms: 2.375 + -2.375 + -1.5x + x2 = 0 + -2.375 Combine like terms: 2.375 + -2.375 = 0.000 0.000 + -1.5x + x2 = 0 + -2.375 -1.5x + x2 = 0 + -2.375 Combine like terms: 0 + -2.375 = -2.375 -1.5x + x2 = -2.375 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -2.375 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -2.375 + 0.5625 Combine like terms: -2.375 + 0.5625 = -1.8125 0.5625 + -1.5x + x2 = -1.8125 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -1.8125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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