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Simplifying (4x)(1 + -2x) = 27 Remove parenthesis around (4x) 4x(1 + -2x) = 27 (1 * 4x + -2x * 4x) = 27 (4x + -8x2) = 27 Solving 4x + -8x2 = 27 Solving for variable 'x'. Reorder the terms: -27 + 4x + -8x2 = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + 4x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 3.375 + -0.5x + x2 = 0 Move the constant term to the right: Add '-3.375' to each side of the equation. 3.375 + -0.5x + -3.375 + x2 = 0 + -3.375 Reorder the terms: 3.375 + -3.375 + -0.5x + x2 = 0 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + -0.5x + x2 = 0 + -3.375 -0.5x + x2 = 0 + -3.375 Combine like terms: 0 + -3.375 = -3.375 -0.5x + x2 = -3.375 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 = -3.375 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -3.375 + 0.0625 Combine like terms: -3.375 + 0.0625 = -3.3125 0.0625 + -0.5x + x2 = -3.3125 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -3.3125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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