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Simplifying 8x2 + -19x + 12 = 0 Reorder the terms: 12 + -19x + 8x2 = 0 Solving 12 + -19x + 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'. 1.5 + -2.375x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -2.375x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -2.375x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -2.375x + x2 = 0 + -1.5 -2.375x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -2.375x + x2 = -1.5 The x term is -2.375x. Take half its coefficient (-1.1875). Square it (1.41015625) and add it to both sides. Add '1.41015625' to each side of the equation. -2.375x + 1.41015625 + x2 = -1.5 + 1.41015625 Reorder the terms: 1.41015625 + -2.375x + x2 = -1.5 + 1.41015625 Combine like terms: -1.5 + 1.41015625 = -0.08984375 1.41015625 + -2.375x + x2 = -0.08984375 Factor a perfect square on the left side: (x + -1.1875)(x + -1.1875) = -0.08984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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