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Simplifying 6c4d2 + 5c3d2 + -11c2d2 = 0 Reorder the terms: -11c2d2 + 5c3d2 + 6c4d2 = 0 Solving -11c2d2 + 5c3d2 + 6c4d2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c2d2'. c2d2(-11 + 5c + 6c2) = 0 Factor a trinomial. c2d2((-11 + -6c)(1 + -1c)) = 0Subproblem 1
Set the factor 'c2d2' equal to zero and attempt to solve: Simplifying c2d2 = 0 Solving c2d2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2d2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-11 + -6c)' equal to zero and attempt to solve: Simplifying -11 + -6c = 0 Solving -11 + -6c = 0 Move all terms containing c to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -6c = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -6c = 0 + 11 -6c = 0 + 11 Combine like terms: 0 + 11 = 11 -6c = 11 Divide each side by '-6'. c = -1.833333333 Simplifying c = -1.833333333Subproblem 3
Set the factor '(1 + -1c)' equal to zero and attempt to solve: Simplifying 1 + -1c = 0 Solving 1 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c = 0 + -1 -1c = 0 + -1 Combine like terms: 0 + -1 = -1 -1c = -1 Divide each side by '-1'. c = 1 Simplifying c = 1Solution
c = {-1.833333333, 1}
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