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Simplifying c(c + 2) + -1c(-6) = 10(-2) Reorder the terms: c(2 + c) + -1c(-6) = 10(-2) (2 * c + c * c) + -1c(-6) = 10(-2) (2c + c2) + -1c(-6) = 10(-2) Reorder the terms for easier multiplication: 2c + c2 + -1 * -6c = 10(-2) Multiply -1 * -6 2c + c2 + 6c = 10(-2) Reorder the terms: 2c + 6c + c2 = 10(-2) Combine like terms: 2c + 6c = 8c 8c + c2 = 10(-2) Multiply 10 * -2 8c + c2 = -20 Solving 8c + c2 = -20 Solving for variable 'c'. Reorder the terms: 20 + 8c + c2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 8c + c2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 8c + -20 + c2 = 0 + -20 Reorder the terms: 20 + -20 + 8c + c2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 8c + c2 = 0 + -20 8c + c2 = 0 + -20 Combine like terms: 0 + -20 = -20 8c + c2 = -20 The c term is 8c. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8c + 16 + c2 = -20 + 16 Reorder the terms: 16 + 8c + c2 = -20 + 16 Combine like terms: -20 + 16 = -4 16 + 8c + c2 = -4 Factor a perfect square on the left side: (c + 4)(c + 4) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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