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Simplifying 8x2 + -6x = -7 Reorder the terms: -6x + 8x2 = -7 Solving -6x + 8x2 = -7 Solving for variable 'x'. Reorder the terms: 7 + -6x + 8x2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + -6x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + -0.75x + x2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -0.75x + -0.875 + x2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + -0.75x + x2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -0.75x + x2 = 0 + -0.875 -0.75x + x2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 -0.75x + x2 = -0.875 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -0.875 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -0.875 + 0.140625 Combine like terms: -0.875 + 0.140625 = -0.734375 0.140625 + -0.75x + x2 = -0.734375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -0.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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