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Simplifying 2x * 2x + -3x + 32 = 0 Reorder the terms for easier multiplication: 2 * 2x * x + -3x + 32 = 0 Multiply 2 * 2 4x * x + -3x + 32 = 0 Multiply x * x 4x2 + -3x + 32 = 0 Reorder the terms: 32 + -3x + 4x2 = 0 Solving 32 + -3x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 8 + -0.75x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -0.75x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -0.75x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -0.75x + x2 = 0 + -8 -0.75x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -0.75x + x2 = -8 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 = -8 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -8 + 0.140625 Combine like terms: -8 + 0.140625 = -7.859375 0.140625 + -0.75x + x2 = -7.859375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -7.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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