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Simplifying (c + -1f)(c2 + cf + f2) = 0 Reorder the terms: (c + -1f)(cf + c2 + f2) = 0 Multiply (c + -1f) * (cf + c2 + f2) (c(cf + c2 + f2) + -1f * (cf + c2 + f2)) = 0 ((cf * c + c2 * c + f2 * c) + -1f * (cf + c2 + f2)) = 0 Reorder the terms: ((cf2 + c2f + c3) + -1f * (cf + c2 + f2)) = 0 ((cf2 + c2f + c3) + -1f * (cf + c2 + f2)) = 0 (cf2 + c2f + c3 + (cf * -1f + c2 * -1f + f2 * -1f)) = 0 (cf2 + c2f + c3 + (-1cf2 + -1c2f + -1f3)) = 0 Reorder the terms: (cf2 + -1cf2 + c2f + -1c2f + c3 + -1f3) = 0 Combine like terms: cf2 + -1cf2 = 0 (0 + c2f + -1c2f + c3 + -1f3) = 0 (c2f + -1c2f + c3 + -1f3) = 0 Combine like terms: c2f + -1c2f = 0 (0 + c3 + -1f3) = 0 (c3 + -1f3) = 0 Solving c3 + -1f3 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'f3' to each side of the equation. c3 + -1f3 + f3 = 0 + f3 Combine like terms: -1f3 + f3 = 0 c3 + 0 = 0 + f3 c3 = 0 + f3 Remove the zero: c3 = f3 Simplifying c3 = f3 Combine like terms: f3 + -1f3 = 0 c3 + -1f3 = 0 The solution to this equation could not be determined.
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