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Simplifying 10r2 + 4r = -13 Reorder the terms: 4r + 10r2 = -13 Solving 4r + 10r2 = -13 Solving for variable 'r'. Reorder the terms: 13 + 4r + 10r2 = -13 + 13 Combine like terms: -13 + 13 = 0 13 + 4r + 10r2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.3 + 0.4r + r2 = 0 Move the constant term to the right: Add '-1.3' to each side of the equation. 1.3 + 0.4r + -1.3 + r2 = 0 + -1.3 Reorder the terms: 1.3 + -1.3 + 0.4r + r2 = 0 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + 0.4r + r2 = 0 + -1.3 0.4r + r2 = 0 + -1.3 Combine like terms: 0 + -1.3 = -1.3 0.4r + r2 = -1.3 The r term is 0.4r. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4r + 0.04 + r2 = -1.3 + 0.04 Reorder the terms: 0.04 + 0.4r + r2 = -1.3 + 0.04 Combine like terms: -1.3 + 0.04 = -1.26 0.04 + 0.4r + r2 = -1.26 Factor a perfect square on the left side: (r + 0.2)(r + 0.2) = -1.26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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