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Simplifying 2c2 + 10cu + 8u2 = 0 Reorder the terms: 10cu + 2c2 + 8u2 = 0 Solving 10cu + 2c2 + 8u2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(5cu + c2 + 4u2) = 0 Factor a trinomial. 2((c + u)(c + 4u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(c + u)' equal to zero and attempt to solve: Simplifying c + u = 0 Solving c + u = 0 Move all terms containing c to the left, all other terms to the right. Add '-1u' to each side of the equation. c + u + -1u = 0 + -1u Combine like terms: u + -1u = 0 c + 0 = 0 + -1u c = 0 + -1u Remove the zero: c = -1u Simplifying c = -1uSubproblem 2
Set the factor '(c + 4u)' equal to zero and attempt to solve: Simplifying c + 4u = 0 Solving c + 4u = 0 Move all terms containing c to the left, all other terms to the right. Add '-4u' to each side of the equation. c + 4u + -4u = 0 + -4u Combine like terms: 4u + -4u = 0 c + 0 = 0 + -4u c = 0 + -4u Remove the zero: c = -4u Simplifying c = -4uSolution
c = {-1u, -4u}
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