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Simplifying 8x2 + 17 = 12x Reorder the terms: 17 + 8x2 = 12x Solving 17 + 8x2 = 12x Solving for variable 'x'. Reorder the terms: 17 + -12x + 8x2 = 12x + -12x Combine like terms: 12x + -12x = 0 17 + -12x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2.125 + -1.5x + x2 = 0 Move the constant term to the right: Add '-2.125' to each side of the equation. 2.125 + -1.5x + -2.125 + x2 = 0 + -2.125 Reorder the terms: 2.125 + -2.125 + -1.5x + x2 = 0 + -2.125 Combine like terms: 2.125 + -2.125 = 0.000 0.000 + -1.5x + x2 = 0 + -2.125 -1.5x + x2 = 0 + -2.125 Combine like terms: 0 + -2.125 = -2.125 -1.5x + x2 = -2.125 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 = -2.125 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -2.125 + 0.5625 Combine like terms: -2.125 + 0.5625 = -1.5625 0.5625 + -1.5x + x2 = -1.5625 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -1.5625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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