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Simplifying 49x2 + 70x + 25 = x Reorder the terms: 25 + 70x + 49x2 = x Solving 25 + 70x + 49x2 = x Solving for variable 'x'. Reorder the terms: 25 + 70x + -1x + 49x2 = x + -1x Combine like terms: 70x + -1x = 69x 25 + 69x + 49x2 = x + -1x Combine like terms: x + -1x = 0 25 + 69x + 49x2 = 0 Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.5102040816 + 1.408163265x + x2 = 0 Move the constant term to the right: Add '-0.5102040816' to each side of the equation. 0.5102040816 + 1.408163265x + -0.5102040816 + x2 = 0 + -0.5102040816 Reorder the terms: 0.5102040816 + -0.5102040816 + 1.408163265x + x2 = 0 + -0.5102040816 Combine like terms: 0.5102040816 + -0.5102040816 = 0.0000000000 0.0000000000 + 1.408163265x + x2 = 0 + -0.5102040816 1.408163265x + x2 = 0 + -0.5102040816 Combine like terms: 0 + -0.5102040816 = -0.5102040816 1.408163265x + x2 = -0.5102040816 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 = -0.5102040816 + 0.4957309452 Reorder the terms: 0.4957309452 + 1.408163265x + x2 = -0.5102040816 + 0.4957309452 Combine like terms: -0.5102040816 + 0.4957309452 = -0.0144731364 0.4957309452 + 1.408163265x + x2 = -0.0144731364 Factor a perfect square on the left side: (x + 0.7040816325)(x + 0.7040816325) = -0.0144731364 Can't calculate square root of the right side. The solution to this equation could not be determined.
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