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Simplifying (8x2 + -8x + -3) + (6x2 + 5x + 9) = 0 Reorder the terms: (-3 + -8x + 8x2) + (6x2 + 5x + 9) = 0 Remove parenthesis around (-3 + -8x + 8x2) -3 + -8x + 8x2 + (6x2 + 5x + 9) = 0 Reorder the terms: -3 + -8x + 8x2 + (9 + 5x + 6x2) = 0 Remove parenthesis around (9 + 5x + 6x2) -3 + -8x + 8x2 + 9 + 5x + 6x2 = 0 Reorder the terms: -3 + 9 + -8x + 5x + 8x2 + 6x2 = 0 Combine like terms: -3 + 9 = 6 6 + -8x + 5x + 8x2 + 6x2 = 0 Combine like terms: -8x + 5x = -3x 6 + -3x + 8x2 + 6x2 = 0 Combine like terms: 8x2 + 6x2 = 14x2 6 + -3x + 14x2 = 0 Solving 6 + -3x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.4285714286 + -0.2142857143x + x2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + -0.2142857143x + -0.4285714286 + x2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + -0.2142857143x + x2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + -0.2142857143x + x2 = 0 + -0.4285714286 -0.2142857143x + x2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 -0.2142857143x + x2 = -0.4285714286 The x term is -0.2142857143x. Take half its coefficient (-0.1071428572). Square it (0.01147959185) and add it to both sides. Add '0.01147959185' to each side of the equation. -0.2142857143x + 0.01147959185 + x2 = -0.4285714286 + 0.01147959185 Reorder the terms: 0.01147959185 + -0.2142857143x + x2 = -0.4285714286 + 0.01147959185 Combine like terms: -0.4285714286 + 0.01147959185 = -0.41709183675 0.01147959185 + -0.2142857143x + x2 = -0.41709183675 Factor a perfect square on the left side: (x + -0.1071428572)(x + -0.1071428572) = -0.41709183675 Can't calculate square root of the right side. The solution to this equation could not be determined.
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