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Simplifying -8x2 + 7x + -3 = 0 Reorder the terms: -3 + 7x + -8x2 = 0 Solving -3 + 7x + -8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.375 + -0.875x + x2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + -0.875x + -0.375 + x2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + -0.875x + x2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -0.875x + x2 = 0 + -0.375 -0.875x + x2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 -0.875x + x2 = -0.375 The x term is -0.875x. Take half its coefficient (-0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. -0.875x + 0.19140625 + x2 = -0.375 + 0.19140625 Reorder the terms: 0.19140625 + -0.875x + x2 = -0.375 + 0.19140625 Combine like terms: -0.375 + 0.19140625 = -0.18359375 0.19140625 + -0.875x + x2 = -0.18359375 Factor a perfect square on the left side: (x + -0.4375)(x + -0.4375) = -0.18359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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