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Simplifying (2x + 2)(4x + -1) = (4x + -13) + (7x + -13) + (6x + 3) Reorder the terms: (2 + 2x)(4x + -1) = (4x + -13) + (7x + -13) + (6x + 3) Reorder the terms: (2 + 2x)(-1 + 4x) = (4x + -13) + (7x + -13) + (6x + 3) Multiply (2 + 2x) * (-1 + 4x) (2(-1 + 4x) + 2x * (-1 + 4x)) = (4x + -13) + (7x + -13) + (6x + 3) ((-1 * 2 + 4x * 2) + 2x * (-1 + 4x)) = (4x + -13) + (7x + -13) + (6x + 3) ((-2 + 8x) + 2x * (-1 + 4x)) = (4x + -13) + (7x + -13) + (6x + 3) (-2 + 8x + (-1 * 2x + 4x * 2x)) = (4x + -13) + (7x + -13) + (6x + 3) (-2 + 8x + (-2x + 8x2)) = (4x + -13) + (7x + -13) + (6x + 3) Combine like terms: 8x + -2x = 6x (-2 + 6x + 8x2) = (4x + -13) + (7x + -13) + (6x + 3) Reorder the terms: -2 + 6x + 8x2 = (-13 + 4x) + (7x + -13) + (6x + 3) Remove parenthesis around (-13 + 4x) -2 + 6x + 8x2 = -13 + 4x + (7x + -13) + (6x + 3) Reorder the terms: -2 + 6x + 8x2 = -13 + 4x + (-13 + 7x) + (6x + 3) Remove parenthesis around (-13 + 7x) -2 + 6x + 8x2 = -13 + 4x + -13 + 7x + (6x + 3) Reorder the terms: -2 + 6x + 8x2 = -13 + 4x + -13 + 7x + (3 + 6x) Remove parenthesis around (3 + 6x) -2 + 6x + 8x2 = -13 + 4x + -13 + 7x + 3 + 6x Reorder the terms: -2 + 6x + 8x2 = -13 + -13 + 3 + 4x + 7x + 6x Combine like terms: -13 + -13 = -26 -2 + 6x + 8x2 = -26 + 3 + 4x + 7x + 6x Combine like terms: -26 + 3 = -23 -2 + 6x + 8x2 = -23 + 4x + 7x + 6x Combine like terms: 4x + 7x = 11x -2 + 6x + 8x2 = -23 + 11x + 6x Combine like terms: 11x + 6x = 17x -2 + 6x + 8x2 = -23 + 17x Solving -2 + 6x + 8x2 = -23 + 17x Solving for variable 'x'. Reorder the terms: -2 + 23 + 6x + -17x + 8x2 = -23 + 17x + 23 + -17x Combine like terms: -2 + 23 = 21 21 + 6x + -17x + 8x2 = -23 + 17x + 23 + -17x Combine like terms: 6x + -17x = -11x 21 + -11x + 8x2 = -23 + 17x + 23 + -17x Reorder the terms: 21 + -11x + 8x2 = -23 + 23 + 17x + -17x Combine like terms: -23 + 23 = 0 21 + -11x + 8x2 = 0 + 17x + -17x 21 + -11x + 8x2 = 17x + -17x Combine like terms: 17x + -17x = 0 21 + -11x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2.625 + -1.375x + x2 = 0 Move the constant term to the right: Add '-2.625' to each side of the equation. 2.625 + -1.375x + -2.625 + x2 = 0 + -2.625 Reorder the terms: 2.625 + -2.625 + -1.375x + x2 = 0 + -2.625 Combine like terms: 2.625 + -2.625 = 0.000 0.000 + -1.375x + x2 = 0 + -2.625 -1.375x + x2 = 0 + -2.625 Combine like terms: 0 + -2.625 = -2.625 -1.375x + x2 = -2.625 The x term is -1.375x. Take half its coefficient (-0.6875). Square it (0.47265625) and add it to both sides. Add '0.47265625' to each side of the equation. -1.375x + 0.47265625 + x2 = -2.625 + 0.47265625 Reorder the terms: 0.47265625 + -1.375x + x2 = -2.625 + 0.47265625 Combine like terms: -2.625 + 0.47265625 = -2.15234375 0.47265625 + -1.375x + x2 = -2.15234375 Factor a perfect square on the left side: (x + -0.6875)(x + -0.6875) = -2.15234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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