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Simplifying 8x2 + -10x + 13 = 0 Reorder the terms: 13 + -10x + 8x2 = 0 Solving 13 + -10x + 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'. 1.625 + -1.25x + x2 = 0 Move the constant term to the right: Add '-1.625' to each side of the equation. 1.625 + -1.25x + -1.625 + x2 = 0 + -1.625 Reorder the terms: 1.625 + -1.625 + -1.25x + x2 = 0 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + -1.25x + x2 = 0 + -1.625 -1.25x + x2 = 0 + -1.625 Combine like terms: 0 + -1.625 = -1.625 -1.25x + x2 = -1.625 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -1.625 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -1.625 + 0.390625 Combine like terms: -1.625 + 0.390625 = -1.234375 0.390625 + -1.25x + x2 = -1.234375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -1.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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