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Simplifying 7x2 + 4 = -2x Reorder the terms: 4 + 7x2 = -2x Solving 4 + 7x2 = -2x Solving for variable 'x'. Reorder the terms: 4 + 2x + 7x2 = -2x + 2x Combine like terms: -2x + 2x = 0 4 + 2x + 7x2 = 0 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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