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Simplifying (7x2 + -3x + 3) + (5x2 + -3x + 4) = 0 Reorder the terms: (3 + -3x + 7x2) + (5x2 + -3x + 4) = 0 Remove parenthesis around (3 + -3x + 7x2) 3 + -3x + 7x2 + (5x2 + -3x + 4) = 0 Reorder the terms: 3 + -3x + 7x2 + (4 + -3x + 5x2) = 0 Remove parenthesis around (4 + -3x + 5x2) 3 + -3x + 7x2 + 4 + -3x + 5x2 = 0 Reorder the terms: 3 + 4 + -3x + -3x + 7x2 + 5x2 = 0 Combine like terms: 3 + 4 = 7 7 + -3x + -3x + 7x2 + 5x2 = 0 Combine like terms: -3x + -3x = -6x 7 + -6x + 7x2 + 5x2 = 0 Combine like terms: 7x2 + 5x2 = 12x2 7 + -6x + 12x2 = 0 Solving 7 + -6x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.5833333333 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.5833333333' to each side of the equation. 0.5833333333 + -0.5x + -0.5833333333 + x2 = 0 + -0.5833333333 Reorder the terms: 0.5833333333 + -0.5833333333 + -0.5x + x2 = 0 + -0.5833333333 Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000 0.0000000000 + -0.5x + x2 = 0 + -0.5833333333 -0.5x + x2 = 0 + -0.5833333333 Combine like terms: 0 + -0.5833333333 = -0.5833333333 -0.5x + x2 = -0.5833333333 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 = -0.5833333333 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.5833333333 + 0.0625 Combine like terms: -0.5833333333 + 0.0625 = -0.5208333333 0.0625 + -0.5x + x2 = -0.5208333333 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.5208333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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