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Simplifying 49x2 + -69x + 28 = 0 Reorder the terms: 28 + -69x + 49x2 = 0 Solving 28 + -69x + 49x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.5714285714 + -1.408163265x + x2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + -1.408163265x + -0.5714285714 + x2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + -1.408163265x + x2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + -1.408163265x + x2 = 0 + -0.5714285714 -1.408163265x + x2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 -1.408163265x + x2 = -0.5714285714 The x term is -1.408163265x. Take half its coefficient (-0.7040816325). Square it (0.4957309452) and add it to both sides. Add '0.4957309452' to each side of the equation. -1.408163265x + 0.4957309452 + x2 = -0.5714285714 + 0.4957309452 Reorder the terms: 0.4957309452 + -1.408163265x + x2 = -0.5714285714 + 0.4957309452 Combine like terms: -0.5714285714 + 0.4957309452 = -0.0756976262 0.4957309452 + -1.408163265x + x2 = -0.0756976262 Factor a perfect square on the left side: (x + -0.7040816325)(x + -0.7040816325) = -0.0756976262 Can't calculate square root of the right side. The solution to this equation could not be determined.
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