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Simplifying 3c4 + 12c3d + -36c2d2 = 0 Reorder the terms: -36c2d2 + 12c3d + 3c4 = 0 Solving -36c2d2 + 12c3d + 3c4 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c2'. 3c2(-12d2 + 4cd + c2) = 0 Factor a trinomial. 3c2((-6d + -1c)(2d + -1c)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}Subproblem 2
Set the factor '(-6d + -1c)' equal to zero and attempt to solve: Simplifying -6d + -1c = 0 Reorder the terms: -1c + -6d = 0 Solving -1c + -6d = 0 Move all terms containing c to the left, all other terms to the right. Add '6d' to each side of the equation. -1c + -6d + 6d = 0 + 6d Combine like terms: -6d + 6d = 0 -1c + 0 = 0 + 6d -1c = 0 + 6d Remove the zero: -1c = 6d Divide each side by '-1'. c = -6d Simplifying c = -6dSubproblem 3
Set the factor '(2d + -1c)' equal to zero and attempt to solve: Simplifying 2d + -1c = 0 Reorder the terms: -1c + 2d = 0 Solving -1c + 2d = 0 Move all terms containing c to the left, all other terms to the right. Add '-2d' to each side of the equation. -1c + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 -1c + 0 = 0 + -2d -1c = 0 + -2d Remove the zero: -1c = -2d Divide each side by '-1'. c = 2d Simplifying c = 2dSolution
c = {0, -6d, 2d}
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