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Simplifying 8x2 + 4x = -5 Reorder the terms: 4x + 8x2 = -5 Solving 4x + 8x2 = -5 Solving for variable 'x'. Reorder the terms: 5 + 4x + 8x2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 4x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + 0.5x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 0.5x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 0.5x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 0.5x + x2 = 0 + -0.625 0.5x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 0.5x + x2 = -0.625 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -0.625 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -0.625 + 0.0625 Combine like terms: -0.625 + 0.0625 = -0.5625 0.0625 + 0.5x + x2 = -0.5625 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -0.5625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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