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Simplifying 9x(6x + 8) = 9x + -26 Reorder the terms: 9x(8 + 6x) = 9x + -26 (8 * 9x + 6x * 9x) = 9x + -26 (72x + 54x2) = 9x + -26 Reorder the terms: 72x + 54x2 = -26 + 9x Solving 72x + 54x2 = -26 + 9x Solving for variable 'x'. Reorder the terms: 26 + 72x + -9x + 54x2 = -26 + 9x + 26 + -9x Combine like terms: 72x + -9x = 63x 26 + 63x + 54x2 = -26 + 9x + 26 + -9x Reorder the terms: 26 + 63x + 54x2 = -26 + 26 + 9x + -9x Combine like terms: -26 + 26 = 0 26 + 63x + 54x2 = 0 + 9x + -9x 26 + 63x + 54x2 = 9x + -9x Combine like terms: 9x + -9x = 0 26 + 63x + 54x2 = 0 Begin completing the square. Divide all terms by 54 the coefficient of the squared term: Divide each side by '54'. 0.4814814815 + 1.166666667x + x2 = 0 Move the constant term to the right: Add '-0.4814814815' to each side of the equation. 0.4814814815 + 1.166666667x + -0.4814814815 + x2 = 0 + -0.4814814815 Reorder the terms: 0.4814814815 + -0.4814814815 + 1.166666667x + x2 = 0 + -0.4814814815 Combine like terms: 0.4814814815 + -0.4814814815 = 0.0000000000 0.0000000000 + 1.166666667x + x2 = 0 + -0.4814814815 1.166666667x + x2 = 0 + -0.4814814815 Combine like terms: 0 + -0.4814814815 = -0.4814814815 1.166666667x + x2 = -0.4814814815 The x term is 1.166666667x. Take half its coefficient (0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. 1.166666667x + 0.3402777780 + x2 = -0.4814814815 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667x + x2 = -0.4814814815 + 0.3402777780 Combine like terms: -0.4814814815 + 0.3402777780 = -0.1412037035 0.3402777780 + 1.166666667x + x2 = -0.1412037035 Factor a perfect square on the left side: (x + 0.5833333335)(x + 0.5833333335) = -0.1412037035 Can't calculate square root of the right side. The solution to this equation could not be determined.
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