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Simplifying 2c = 5c2 + 7 Reorder the terms: 2c = 7 + 5c2 Solving 2c = 7 + 5c2 Solving for variable 'c'. Reorder the terms: -7 + 2c + -5c2 = 7 + 5c2 + -7 + -5c2 Reorder the terms: -7 + 2c + -5c2 = 7 + -7 + 5c2 + -5c2 Combine like terms: 7 + -7 = 0 -7 + 2c + -5c2 = 0 + 5c2 + -5c2 -7 + 2c + -5c2 = 5c2 + -5c2 Combine like terms: 5c2 + -5c2 = 0 -7 + 2c + -5c2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.4 + -0.4c + c2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -0.4c + -1.4 + c2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + -0.4c + c2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.4c + c2 = 0 + -1.4 -0.4c + c2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -0.4c + c2 = -1.4 The c term is -0.4c. 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. -0.4c + 0.04 + c2 = -1.4 + 0.04 Reorder the terms: 0.04 + -0.4c + c2 = -1.4 + 0.04 Combine like terms: -1.4 + 0.04 = -1.36 0.04 + -0.4c + c2 = -1.36 Factor a perfect square on the left side: (c + -0.2)(c + -0.2) = -1.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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