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Simplifying (c + 3)(c + 3) + 4 = 0 Reorder the terms: (3 + c)(c + 3) + 4 = 0 Reorder the terms: (3 + c)(3 + c) + 4 = 0 Multiply (3 + c) * (3 + c) (3(3 + c) + c(3 + c)) + 4 = 0 ((3 * 3 + c * 3) + c(3 + c)) + 4 = 0 ((9 + 3c) + c(3 + c)) + 4 = 0 (9 + 3c + (3 * c + c * c)) + 4 = 0 (9 + 3c + (3c + c2)) + 4 = 0 Combine like terms: 3c + 3c = 6c (9 + 6c + c2) + 4 = 0 Reorder the terms: 9 + 4 + 6c + c2 = 0 Combine like terms: 9 + 4 = 13 13 + 6c + c2 = 0 Solving 13 + 6c + c2 = 0 Solving for variable 'c'. Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + 6c + -13 + c2 = 0 + -13 Reorder the terms: 13 + -13 + 6c + c2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6c + c2 = 0 + -13 6c + c2 = 0 + -13 Combine like terms: 0 + -13 = -13 6c + c2 = -13 The c term is 6c. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6c + 9 + c2 = -13 + 9 Reorder the terms: 9 + 6c + c2 = -13 + 9 Combine like terms: -13 + 9 = -4 9 + 6c + c2 = -4 Factor a perfect square on the left side: (c + 3)(c + 3) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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