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Simplifying 8x2 + 32x + 33 = 0 Reorder the terms: 33 + 32x + 8x2 = 0 Solving 33 + 32x + 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'. 4.125 + 4x + x2 = 0 Move the constant term to the right: Add '-4.125' to each side of the equation. 4.125 + 4x + -4.125 + x2 = 0 + -4.125 Reorder the terms: 4.125 + -4.125 + 4x + x2 = 0 + -4.125 Combine like terms: 4.125 + -4.125 = 0.000 0.000 + 4x + x2 = 0 + -4.125 4x + x2 = 0 + -4.125 Combine like terms: 0 + -4.125 = -4.125 4x + x2 = -4.125 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -4.125 + 4 Reorder the terms: 4 + 4x + x2 = -4.125 + 4 Combine like terms: -4.125 + 4 = -0.125 4 + 4x + x2 = -0.125 Factor a perfect square on the left side: (x + 2)(x + 2) = -0.125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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