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Simplifying (3x2 + -10x + 3) + -1(x2 + -3x + 2) + (7x2 + 5) = 0 Reorder the terms: (3 + -10x + 3x2) + -1(x2 + -3x + 2) + (7x2 + 5) = 0 Remove parenthesis around (3 + -10x + 3x2) 3 + -10x + 3x2 + -1(x2 + -3x + 2) + (7x2 + 5) = 0 Reorder the terms: 3 + -10x + 3x2 + -1(2 + -3x + x2) + (7x2 + 5) = 0 3 + -10x + 3x2 + (2 * -1 + -3x * -1 + x2 * -1) + (7x2 + 5) = 0 3 + -10x + 3x2 + (-2 + 3x + -1x2) + (7x2 + 5) = 0 Reorder the terms: 3 + -10x + 3x2 + -2 + 3x + -1x2 + (5 + 7x2) = 0 Remove parenthesis around (5 + 7x2) 3 + -10x + 3x2 + -2 + 3x + -1x2 + 5 + 7x2 = 0 Reorder the terms: 3 + -2 + 5 + -10x + 3x + 3x2 + -1x2 + 7x2 = 0 Combine like terms: 3 + -2 = 1 1 + 5 + -10x + 3x + 3x2 + -1x2 + 7x2 = 0 Combine like terms: 1 + 5 = 6 6 + -10x + 3x + 3x2 + -1x2 + 7x2 = 0 Combine like terms: -10x + 3x = -7x 6 + -7x + 3x2 + -1x2 + 7x2 = 0 Combine like terms: 3x2 + -1x2 = 2x2 6 + -7x + 2x2 + 7x2 = 0 Combine like terms: 2x2 + 7x2 = 9x2 6 + -7x + 9x2 = 0 Solving 6 + -7x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.6666666667 + -0.7777777778x + x2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -0.7777777778x + -0.6666666667 + x2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -0.7777777778x + x2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -0.7777777778x + x2 = 0 + -0.6666666667 -0.7777777778x + x2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -0.7777777778x + x2 = -0.6666666667 The x term is -0.7777777778x. Take half its coefficient (-0.3888888889). Square it (0.1512345679) and add it to both sides. Add '0.1512345679' to each side of the equation. -0.7777777778x + 0.1512345679 + x2 = -0.6666666667 + 0.1512345679 Reorder the terms: 0.1512345679 + -0.7777777778x + x2 = -0.6666666667 + 0.1512345679 Combine like terms: -0.6666666667 + 0.1512345679 = -0.5154320988 0.1512345679 + -0.7777777778x + x2 = -0.5154320988 Factor a perfect square on the left side: (x + -0.3888888889)(x + -0.3888888889) = -0.5154320988 Can't calculate square root of the right side. The solution to this equation could not be determined.
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