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Simplifying (9x2 + -2x + 7) + (8x2 + -5x + 3) + -1(3x2 + 9) = 0 Reorder the terms: (7 + -2x + 9x2) + (8x2 + -5x + 3) + -1(3x2 + 9) = 0 Remove parenthesis around (7 + -2x + 9x2) 7 + -2x + 9x2 + (8x2 + -5x + 3) + -1(3x2 + 9) = 0 Reorder the terms: 7 + -2x + 9x2 + (3 + -5x + 8x2) + -1(3x2 + 9) = 0 Remove parenthesis around (3 + -5x + 8x2) 7 + -2x + 9x2 + 3 + -5x + 8x2 + -1(3x2 + 9) = 0 Reorder the terms: 7 + -2x + 9x2 + 3 + -5x + 8x2 + -1(9 + 3x2) = 0 7 + -2x + 9x2 + 3 + -5x + 8x2 + (9 * -1 + 3x2 * -1) = 0 7 + -2x + 9x2 + 3 + -5x + 8x2 + (-9 + -3x2) = 0 Reorder the terms: 7 + 3 + -9 + -2x + -5x + 9x2 + 8x2 + -3x2 = 0 Combine like terms: 7 + 3 = 10 10 + -9 + -2x + -5x + 9x2 + 8x2 + -3x2 = 0 Combine like terms: 10 + -9 = 1 1 + -2x + -5x + 9x2 + 8x2 + -3x2 = 0 Combine like terms: -2x + -5x = -7x 1 + -7x + 9x2 + 8x2 + -3x2 = 0 Combine like terms: 9x2 + 8x2 = 17x2 1 + -7x + 17x2 + -3x2 = 0 Combine like terms: 17x2 + -3x2 = 14x2 1 + -7x + 14x2 = 0 Solving 1 + -7x + 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'. 0.07142857143 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.07142857143' to each side of the equation. 0.07142857143 + -0.5x + -0.07142857143 + x2 = 0 + -0.07142857143 Reorder the terms: 0.07142857143 + -0.07142857143 + -0.5x + x2 = 0 + -0.07142857143 Combine like terms: 0.07142857143 + -0.07142857143 = 0.00000000000 0.00000000000 + -0.5x + x2 = 0 + -0.07142857143 -0.5x + x2 = 0 + -0.07142857143 Combine like terms: 0 + -0.07142857143 = -0.07142857143 -0.5x + x2 = -0.07142857143 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 = -0.07142857143 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.07142857143 + 0.0625 Combine like terms: -0.07142857143 + 0.0625 = -0.00892857143 0.0625 + -0.5x + x2 = -0.00892857143 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.00892857143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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