62cd^3+29cd^3+15c^3d+-33c^3d+-72cd^3=

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Solution for 62cd^3+29cd^3+15c^3d+-33c^3d+-72cd^3= equation:


Simplifying
62cd3 + 29cd3 + 15c3d + -33c3d + -72cd3 = 0

Reorder the terms:
62cd3 + 29cd3 + -72cd3 + 15c3d + -33c3d = 0

Combine like terms: 62cd3 + 29cd3 = 91cd3
91cd3 + -72cd3 + 15c3d + -33c3d = 0

Combine like terms: 91cd3 + -72cd3 = 19cd3
19cd3 + 15c3d + -33c3d = 0

Combine like terms: 15c3d + -33c3d = -18c3d
19cd3 + -18c3d = 0

Solving
19cd3 + -18c3d = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'cd'.
cd(19d2 + -18c2) = 0

Subproblem 1

Set the factor 'cd' equal to zero and attempt to solve: Simplifying cd = 0 Solving cd = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cd = 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 '(19d2 + -18c2)' equal to zero and attempt to solve: Simplifying 19d2 + -18c2 = 0 Reorder the terms: -18c2 + 19d2 = 0 Solving -18c2 + 19d2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-19d2' to each side of the equation. -18c2 + 19d2 + -19d2 = 0 + -19d2 Combine like terms: 19d2 + -19d2 = 0 -18c2 + 0 = 0 + -19d2 -18c2 = 0 + -19d2 Remove the zero: -18c2 = -19d2 Divide each side by '-18'. c2 = 1.055555556d2 Simplifying c2 = 1.055555556d2 Take the square root of each side: c = {-1.027402334d, 1.027402334d}

Solution

c = {-1.027402334d, 1.027402334d}

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