4d(3d+5e)=

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Solution for 4d(3d+5e)= equation: 


Simplifying
4d(3d + 5e) = 0
(3d * 4d + 5e * 4d) = 0

Reorder the terms:
(20de + 12d2) = 0
(20de + 12d2) = 0

Solving
20de + 12d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '4d'.
4d(5e + 3d) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

Move all terms containing d to the left, all other terms to the right.

Simplifying
d = 0

Subproblem 2
Set the factor '(5e + 3d)' equal to zero and attempt to solve:

Simplifying
5e + 3d = 0

Reorder the terms:
3d + 5e = 0

Solving
3d + 5e = 0

Move all terms containing d to the left, all other terms to the right.

Add '-5e' to each side of the equation.
3d + 5e + -5e = 0 + -5e

Combine like terms: 5e + -5e = 0
3d + 0 = 0 + -5e
3d = 0 + -5e
Remove the zero:
3d = -5e

Divide each side by '3'.
d = -1.666666667e

Simplifying
d = -1.666666667e
Solution
d = {0, -1.666666667e}

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