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Simplifying 30c2d + 38cd + 12d = 0 Reorder the terms: 38cd + 30c2d + 12d = 0 Solving 38cd + 30c2d + 12d = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2d'. 2d(19c + 15c2 + 6) = 0 Factor a trinomial. 2d((5c + 3)(3c + 2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. d + -1d = 0 + -1d Remove the zero: 0 = -1d Simplifying 0 = -1d 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 '(5c + 3)' equal to zero and attempt to solve: Simplifying 5c + 3 = 0 Reorder the terms: 3 + 5c = 0 Solving 3 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5c = 0 + -3 5c = 0 + -3 Combine like terms: 0 + -3 = -3 5c = -3 Divide each side by '5'. c = -0.6 Simplifying c = -0.6Subproblem 3
Set the factor '(3c + 2)' equal to zero and attempt to solve: Simplifying 3c + 2 = 0 Reorder the terms: 2 + 3c = 0 Solving 2 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3c = 0 + -2 3c = 0 + -2 Combine like terms: 0 + -2 = -2 3c = -2 Divide each side by '3'. c = -0.6666666667 Simplifying c = -0.6666666667Solution
c = {-0.6, -0.6666666667}
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