(x^3D^3+3x^2D^2+xD)=24x^2

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Solution for (x^3D^3+3x^2D^2+xD)=24x^2 equation:


Simplifying
(x3D3 + 3x2D2 + xD) = 24x2

Reorder the terms:
(xD + 3x2D2 + x3D3) = 24x2

Remove parenthesis around (xD + 3x2D2 + x3D3)
xD + 3x2D2 + x3D3 = 24x2

Solving
xD + 3x2D2 + x3D3 = 24x2

Solving for variable 'x'.

Reorder the terms:
xD + -24x2 + 3x2D2 + x3D3 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
xD + -24x2 + 3x2D2 + x3D3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(D + -24x + 3xD2 + x2D3) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(D + -24x + 3xD2 + x2D3)' equal to zero and attempt to solve: Simplifying D + -24x + 3xD2 + x2D3 = 0 Solving D + -24x + 3xD2 + x2D3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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