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Simplifying 4c2 + 13c + 30 = 0 Reorder the terms: 30 + 13c + 4c2 = 0 Solving 30 + 13c + 4c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 7.5 + 3.25c + c2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + 3.25c + -7.5 + c2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 3.25c + c2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 3.25c + c2 = 0 + -7.5 3.25c + c2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 3.25c + c2 = -7.5 The c term is 3.25c. Take half its coefficient (1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. 3.25c + 2.640625 + c2 = -7.5 + 2.640625 Reorder the terms: 2.640625 + 3.25c + c2 = -7.5 + 2.640625 Combine like terms: -7.5 + 2.640625 = -4.859375 2.640625 + 3.25c + c2 = -4.859375 Factor a perfect square on the left side: (c + 1.625)(c + 1.625) = -4.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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