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Simplifying (5x2 + 2x + 11) + -1(7 + 4x + -2x2) = 0 Reorder the terms: (11 + 2x + 5x2) + -1(7 + 4x + -2x2) = 0 Remove parenthesis around (11 + 2x + 5x2) 11 + 2x + 5x2 + -1(7 + 4x + -2x2) = 0 11 + 2x + 5x2 + (7 * -1 + 4x * -1 + -2x2 * -1) = 0 11 + 2x + 5x2 + (-7 + -4x + 2x2) = 0 Reorder the terms: 11 + -7 + 2x + -4x + 5x2 + 2x2 = 0 Combine like terms: 11 + -7 = 4 4 + 2x + -4x + 5x2 + 2x2 = 0 Combine like terms: 2x + -4x = -2x 4 + -2x + 5x2 + 2x2 = 0 Combine like terms: 5x2 + 2x2 = 7x2 4 + -2x + 7x2 = 0 Solving 4 + -2x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.5714285714 + -0.2857142857x + x2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + -0.2857142857x + -0.5714285714 + x2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + -0.2857142857x + x2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + -0.2857142857x + x2 = 0 + -0.5714285714 -0.2857142857x + x2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 -0.2857142857x + x2 = -0.5714285714 The x term is -0.2857142857x. Take half its coefficient (-0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. -0.2857142857x + 0.02040816328 + x2 = -0.5714285714 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857x + x2 = -0.5714285714 + 0.02040816328 Combine like terms: -0.5714285714 + 0.02040816328 = -0.55102040812 0.02040816328 + -0.2857142857x + x2 = -0.55102040812 Factor a perfect square on the left side: (x + -0.1428571429)(x + -0.1428571429) = -0.55102040812 Can't calculate square root of the right side. The solution to this equation could not be determined.
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