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Simplifying 18r2 + -10r + 25 = 12 Reorder the terms: 25 + -10r + 18r2 = 12 Solving 25 + -10r + 18r2 = 12 Solving for variable 'r'. Reorder the terms: 25 + -12 + -10r + 18r2 = 12 + -12 Combine like terms: 25 + -12 = 13 13 + -10r + 18r2 = 12 + -12 Combine like terms: 12 + -12 = 0 13 + -10r + 18r2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.7222222222 + -0.5555555556r + r2 = 0 Move the constant term to the right: Add '-0.7222222222' to each side of the equation. 0.7222222222 + -0.5555555556r + -0.7222222222 + r2 = 0 + -0.7222222222 Reorder the terms: 0.7222222222 + -0.7222222222 + -0.5555555556r + r2 = 0 + -0.7222222222 Combine like terms: 0.7222222222 + -0.7222222222 = 0.0000000000 0.0000000000 + -0.5555555556r + r2 = 0 + -0.7222222222 -0.5555555556r + r2 = 0 + -0.7222222222 Combine like terms: 0 + -0.7222222222 = -0.7222222222 -0.5555555556r + r2 = -0.7222222222 The r term is -0.5555555556r. Take half its coefficient (-0.2777777778). Square it (0.07716049384) and add it to both sides. Add '0.07716049384' to each side of the equation. -0.5555555556r + 0.07716049384 + r2 = -0.7222222222 + 0.07716049384 Reorder the terms: 0.07716049384 + -0.5555555556r + r2 = -0.7222222222 + 0.07716049384 Combine like terms: -0.7222222222 + 0.07716049384 = -0.64506172836 0.07716049384 + -0.5555555556r + r2 = -0.64506172836 Factor a perfect square on the left side: (r + -0.2777777778)(r + -0.2777777778) = -0.64506172836 Can't calculate square root of the right side. The solution to this equation could not be determined.
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