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Simplifying 49r2 + 69r + 25 = 0 Reorder the terms: 25 + 69r + 49r2 = 0 Solving 25 + 69r + 49r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.5102040816 + 1.408163265r + r2 = 0 Move the constant term to the right: Add '-0.5102040816' to each side of the equation. 0.5102040816 + 1.408163265r + -0.5102040816 + r2 = 0 + -0.5102040816 Reorder the terms: 0.5102040816 + -0.5102040816 + 1.408163265r + r2 = 0 + -0.5102040816 Combine like terms: 0.5102040816 + -0.5102040816 = 0.0000000000 0.0000000000 + 1.408163265r + r2 = 0 + -0.5102040816 1.408163265r + r2 = 0 + -0.5102040816 Combine like terms: 0 + -0.5102040816 = -0.5102040816 1.408163265r + r2 = -0.5102040816 The r term is 1.408163265r. 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. 1.408163265r + 0.4957309452 + r2 = -0.5102040816 + 0.4957309452 Reorder the terms: 0.4957309452 + 1.408163265r + r2 = -0.5102040816 + 0.4957309452 Combine like terms: -0.5102040816 + 0.4957309452 = -0.0144731364 0.4957309452 + 1.408163265r + r2 = -0.0144731364 Factor a perfect square on the left side: (r + 0.7040816325)(r + 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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