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Simplifying (5x2 + -2x + 4) + (9x2 + -4x + 5) + -1(3x2 + 7) = 0 Reorder the terms: (4 + -2x + 5x2) + (9x2 + -4x + 5) + -1(3x2 + 7) = 0 Remove parenthesis around (4 + -2x + 5x2) 4 + -2x + 5x2 + (9x2 + -4x + 5) + -1(3x2 + 7) = 0 Reorder the terms: 4 + -2x + 5x2 + (5 + -4x + 9x2) + -1(3x2 + 7) = 0 Remove parenthesis around (5 + -4x + 9x2) 4 + -2x + 5x2 + 5 + -4x + 9x2 + -1(3x2 + 7) = 0 Reorder the terms: 4 + -2x + 5x2 + 5 + -4x + 9x2 + -1(7 + 3x2) = 0 4 + -2x + 5x2 + 5 + -4x + 9x2 + (7 * -1 + 3x2 * -1) = 0 4 + -2x + 5x2 + 5 + -4x + 9x2 + (-7 + -3x2) = 0 Reorder the terms: 4 + 5 + -7 + -2x + -4x + 5x2 + 9x2 + -3x2 = 0 Combine like terms: 4 + 5 = 9 9 + -7 + -2x + -4x + 5x2 + 9x2 + -3x2 = 0 Combine like terms: 9 + -7 = 2 2 + -2x + -4x + 5x2 + 9x2 + -3x2 = 0 Combine like terms: -2x + -4x = -6x 2 + -6x + 5x2 + 9x2 + -3x2 = 0 Combine like terms: 5x2 + 9x2 = 14x2 2 + -6x + 14x2 + -3x2 = 0 Combine like terms: 14x2 + -3x2 = 11x2 2 + -6x + 11x2 = 0 Solving 2 + -6x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.1818181818 + -0.5454545455x + x2 = 0 Move the constant term to the right: Add '-0.1818181818' to each side of the equation. 0.1818181818 + -0.5454545455x + -0.1818181818 + x2 = 0 + -0.1818181818 Reorder the terms: 0.1818181818 + -0.1818181818 + -0.5454545455x + x2 = 0 + -0.1818181818 Combine like terms: 0.1818181818 + -0.1818181818 = 0.0000000000 0.0000000000 + -0.5454545455x + x2 = 0 + -0.1818181818 -0.5454545455x + x2 = 0 + -0.1818181818 Combine like terms: 0 + -0.1818181818 = -0.1818181818 -0.5454545455x + x2 = -0.1818181818 The x term is -0.5454545455x. Take half its coefficient (-0.2727272728). Square it (0.07438016533) and add it to both sides. Add '0.07438016533' to each side of the equation. -0.5454545455x + 0.07438016533 + x2 = -0.1818181818 + 0.07438016533 Reorder the terms: 0.07438016533 + -0.5454545455x + x2 = -0.1818181818 + 0.07438016533 Combine like terms: -0.1818181818 + 0.07438016533 = -0.10743801647 0.07438016533 + -0.5454545455x + x2 = -0.10743801647 Factor a perfect square on the left side: (x + -0.2727272728)(x + -0.2727272728) = -0.10743801647 Can't calculate square root of the right side. The solution to this equation could not be determined.
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