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Simplifying 4(7 + x2) = 3x + 8 (7 * 4 + x2 * 4) = 3x + 8 (28 + 4x2) = 3x + 8 Reorder the terms: 28 + 4x2 = 8 + 3x Solving 28 + 4x2 = 8 + 3x Solving for variable 'x'. Reorder the terms: 28 + -8 + -3x + 4x2 = 8 + 3x + -8 + -3x Combine like terms: 28 + -8 = 20 20 + -3x + 4x2 = 8 + 3x + -8 + -3x Reorder the terms: 20 + -3x + 4x2 = 8 + -8 + 3x + -3x Combine like terms: 8 + -8 = 0 20 + -3x + 4x2 = 0 + 3x + -3x 20 + -3x + 4x2 = 3x + -3x Combine like terms: 3x + -3x = 0 20 + -3x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 5 + -0.75x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -0.75x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -0.75x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -0.75x + x2 = 0 + -5 -0.75x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -0.75x + x2 = -5 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 = -5 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -5 + 0.140625 Combine like terms: -5 + 0.140625 = -4.859375 0.140625 + -0.75x + x2 = -4.859375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -4.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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