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Simplifying 4x(4x) + -8x + 3 = 0 Remove parenthesis around (4x) 4x * 4x + -8x + 3 = 0 Reorder the terms for easier multiplication: 4 * 4x * x + -8x + 3 = 0 Multiply 4 * 4 16x * x + -8x + 3 = 0 Multiply x * x 16x2 + -8x + 3 = 0 Reorder the terms: 3 + -8x + 16x2 = 0 Solving 3 + -8x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.1875 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.1875' to each side of the equation. 0.1875 + -0.5x + -0.1875 + x2 = 0 + -0.1875 Reorder the terms: 0.1875 + -0.1875 + -0.5x + x2 = 0 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + -0.5x + x2 = 0 + -0.1875 -0.5x + x2 = 0 + -0.1875 Combine like terms: 0 + -0.1875 = -0.1875 -0.5x + x2 = -0.1875 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 = -0.1875 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.1875 + 0.0625 Combine like terms: -0.1875 + 0.0625 = -0.125 0.0625 + -0.5x + x2 = -0.125 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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