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Simplifying 8x2 + 13 = 20x Reorder the terms: 13 + 8x2 = 20x Solving 13 + 8x2 = 20x Solving for variable 'x'. Reorder the terms: 13 + -20x + 8x2 = 20x + -20x Combine like terms: 20x + -20x = 0 13 + -20x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.625 + -2.5x + x2 = 0 Move the constant term to the right: Add '-1.625' to each side of the equation. 1.625 + -2.5x + -1.625 + x2 = 0 + -1.625 Reorder the terms: 1.625 + -1.625 + -2.5x + x2 = 0 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + -2.5x + x2 = 0 + -1.625 -2.5x + x2 = 0 + -1.625 Combine like terms: 0 + -1.625 = -1.625 -2.5x + x2 = -1.625 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -1.625 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -1.625 + 1.5625 Combine like terms: -1.625 + 1.5625 = -0.0625 1.5625 + -2.5x + x2 = -0.0625 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -0.0625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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