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Simplifying 8x2 + -5x + 10 = 7 Reorder the terms: 10 + -5x + 8x2 = 7 Solving 10 + -5x + 8x2 = 7 Solving for variable 'x'. Reorder the terms: 10 + -7 + -5x + 8x2 = 7 + -7 Combine like terms: 10 + -7 = 3 3 + -5x + 8x2 = 7 + -7 Combine like terms: 7 + -7 = 0 3 + -5x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.375 + -0.625x + x2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + -0.625x + -0.375 + x2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + -0.625x + x2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -0.625x + x2 = 0 + -0.375 -0.625x + x2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 -0.625x + x2 = -0.375 The x term is -0.625x. Take half its coefficient (-0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. -0.625x + 0.09765625 + x2 = -0.375 + 0.09765625 Reorder the terms: 0.09765625 + -0.625x + x2 = -0.375 + 0.09765625 Combine like terms: -0.375 + 0.09765625 = -0.27734375 0.09765625 + -0.625x + x2 = -0.27734375 Factor a perfect square on the left side: (x + -0.3125)(x + -0.3125) = -0.27734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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