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Simplifying (2 + -1c)(4 + 2c + c2) = 0 Multiply (2 + -1c) * (4 + 2c + c2) (2(4 + 2c + c2) + -1c * (4 + 2c + c2)) = 0 ((4 * 2 + 2c * 2 + c2 * 2) + -1c * (4 + 2c + c2)) = 0 ((8 + 4c + 2c2) + -1c * (4 + 2c + c2)) = 0 (8 + 4c + 2c2 + (4 * -1c + 2c * -1c + c2 * -1c)) = 0 (8 + 4c + 2c2 + (-4c + -2c2 + -1c3)) = 0 Reorder the terms: (8 + 4c + -4c + 2c2 + -2c2 + -1c3) = 0 Combine like terms: 4c + -4c = 0 (8 + 0 + 2c2 + -2c2 + -1c3) = 0 (8 + 2c2 + -2c2 + -1c3) = 0 Combine like terms: 2c2 + -2c2 = 0 (8 + 0 + -1c3) = 0 (8 + -1c3) = 0 Solving 8 + -1c3 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1c3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1c3 = 0 + -8 -1c3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1c3 = -8 Divide each side by '-1'. c3 = 8 Simplifying c3 = 8 Reorder the terms: -8 + c3 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + c3 = 0 The solution to this equation could not be determined.
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