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Simplifying 17r2 + -14r = -7 Reorder the terms: -14r + 17r2 = -7 Solving -14r + 17r2 = -7 Solving for variable 'r'. Reorder the terms: 7 + -14r + 17r2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + -14r + 17r2 = 0 Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 0.4117647059 + -0.8235294118r + r2 = 0 Move the constant term to the right: Add '-0.4117647059' to each side of the equation. 0.4117647059 + -0.8235294118r + -0.4117647059 + r2 = 0 + -0.4117647059 Reorder the terms: 0.4117647059 + -0.4117647059 + -0.8235294118r + r2 = 0 + -0.4117647059 Combine like terms: 0.4117647059 + -0.4117647059 = 0.0000000000 0.0000000000 + -0.8235294118r + r2 = 0 + -0.4117647059 -0.8235294118r + r2 = 0 + -0.4117647059 Combine like terms: 0 + -0.4117647059 = -0.4117647059 -0.8235294118r + r2 = -0.4117647059 The r term is -0.8235294118r. Take half its coefficient (-0.4117647059). Square it (0.1695501730) and add it to both sides. Add '0.1695501730' to each side of the equation. -0.8235294118r + 0.1695501730 + r2 = -0.4117647059 + 0.1695501730 Reorder the terms: 0.1695501730 + -0.8235294118r + r2 = -0.4117647059 + 0.1695501730 Combine like terms: -0.4117647059 + 0.1695501730 = -0.2422145329 0.1695501730 + -0.8235294118r + r2 = -0.2422145329 Factor a perfect square on the left side: (r + -0.4117647059)(r + -0.4117647059) = -0.2422145329 Can't calculate square root of the right side. The solution to this equation could not be determined.
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