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Simplifying 25r2 + 19r + 4 = 0 Reorder the terms: 4 + 19r + 25r2 = 0 Solving 4 + 19r + 25r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.16 + 0.76r + r2 = 0 Move the constant term to the right: Add '-0.16' to each side of the equation. 0.16 + 0.76r + -0.16 + r2 = 0 + -0.16 Reorder the terms: 0.16 + -0.16 + 0.76r + r2 = 0 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + 0.76r + r2 = 0 + -0.16 0.76r + r2 = 0 + -0.16 Combine like terms: 0 + -0.16 = -0.16 0.76r + r2 = -0.16 The r term is 0.76r. Take half its coefficient (0.38). Square it (0.1444) and add it to both sides. Add '0.1444' to each side of the equation. 0.76r + 0.1444 + r2 = -0.16 + 0.1444 Reorder the terms: 0.1444 + 0.76r + r2 = -0.16 + 0.1444 Combine like terms: -0.16 + 0.1444 = -0.0156 0.1444 + 0.76r + r2 = -0.0156 Factor a perfect square on the left side: (r + 0.38)(r + 0.38) = -0.0156 Can't calculate square root of the right side. The solution to this equation could not be determined.
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