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Simplifying 4r2 + -10r + 25 = 0 Reorder the terms: 25 + -10r + 4r2 = 0 Solving 25 + -10r + 4r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 6.25 + -2.5r + r2 = 0 Move the constant term to the right: Add '-6.25' to each side of the equation. 6.25 + -2.5r + -6.25 + r2 = 0 + -6.25 Reorder the terms: 6.25 + -6.25 + -2.5r + r2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + -2.5r + r2 = 0 + -6.25 -2.5r + r2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 -2.5r + r2 = -6.25 The r term is -2.5r. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5r + 1.5625 + r2 = -6.25 + 1.5625 Reorder the terms: 1.5625 + -2.5r + r2 = -6.25 + 1.5625 Combine like terms: -6.25 + 1.5625 = -4.6875 1.5625 + -2.5r + r2 = -4.6875 Factor a perfect square on the left side: (r + -1.25)(r + -1.25) = -4.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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