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Simplifying 4c8 + 4c4 + 7 = 0 Reorder the terms: 7 + 4c4 + 4c8 = 0 Solving 7 + 4c4 + 4c8 = 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'. 1.75 + c4 + c8 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + c4 + -1.75 + c8 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + c4 + c8 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + c4 + c8 = 0 + -1.75 c4 + c8 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 c4 + c8 = -1.75 The c term is c4. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + c8 = -1.75 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + c8 = -1.75 + 0.25 Combine like terms: -1.75 + 0.25 = -1.5 1.25 + c8 = -1.5 Factor a perfect square on the left side: (c4 + 0.5)(c4 + 0.5) = -1.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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