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Simplifying 4 + 2x(-2x + 1) = 13 + 6 Reorder the terms: 4 + 2x(1 + -2x) = 13 + 6 4 + (1 * 2x + -2x * 2x) = 13 + 6 4 + (2x + -4x2) = 13 + 6 Combine like terms: 13 + 6 = 19 4 + 2x + -4x2 = 19 Solving 4 + 2x + -4x2 = 19 Solving for variable 'x'. Reorder the terms: 4 + -19 + 2x + -4x2 = 19 + -19 Combine like terms: 4 + -19 = -15 -15 + 2x + -4x2 = 19 + -19 Combine like terms: 19 + -19 = 0 -15 + 2x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 3.75 + -0.5x + x2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + -0.5x + -3.75 + x2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + -0.5x + x2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -0.5x + x2 = 0 + -3.75 -0.5x + x2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 -0.5x + x2 = -3.75 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 = -3.75 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -3.75 + 0.0625 Combine like terms: -3.75 + 0.0625 = -3.6875 0.0625 + -0.5x + x2 = -3.6875 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -3.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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