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Simplifying 8x2 + 7 = 5x Reorder the terms: 7 + 8x2 = 5x Solving 7 + 8x2 = 5x Solving for variable 'x'. Reorder the terms: 7 + -5x + 8x2 = 5x + -5x Combine like terms: 5x + -5x = 0 7 + -5x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + -0.625x + x2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -0.625x + -0.875 + x2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + -0.625x + x2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -0.625x + x2 = 0 + -0.875 -0.625x + x2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 -0.625x + x2 = -0.875 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 = -0.875 + 0.09765625 Reorder the terms: 0.09765625 + -0.625x + x2 = -0.875 + 0.09765625 Combine like terms: -0.875 + 0.09765625 = -0.77734375 0.09765625 + -0.625x + x2 = -0.77734375 Factor a perfect square on the left side: (x + -0.3125)(x + -0.3125) = -0.77734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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