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Simplifying 2c(2c) + -7c = -5 Remove parenthesis around (2c) 2c * 2c + -7c = -5 Reorder the terms for easier multiplication: 2 * 2c * c + -7c = -5 Multiply 2 * 2 4c * c + -7c = -5 Multiply c * c 4c2 + -7c = -5 Reorder the terms: -7c + 4c2 = -5 Solving -7c + 4c2 = -5 Solving for variable 'c'. Reorder the terms: 5 + -7c + 4c2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + -7c + 4c2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + -1.75c + c2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -1.75c + -1.25 + c2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -1.75c + c2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -1.75c + c2 = 0 + -1.25 -1.75c + c2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -1.75c + c2 = -1.25 The c term is -1.75c. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75c + 0.765625 + c2 = -1.25 + 0.765625 Reorder the terms: 0.765625 + -1.75c + c2 = -1.25 + 0.765625 Combine like terms: -1.25 + 0.765625 = -0.484375 0.765625 + -1.75c + c2 = -0.484375 Factor a perfect square on the left side: (c + -0.875)(c + -0.875) = -0.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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