de(36d^2+e^2-12de)=

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Solution for de(36d^2+e^2-12de)= equation: 


Simplifying
de(36d2 + e2 + -12de) = 0

Reorder the terms:
de(-12de + 36d2 + e2) = 0
(-12de * de + 36d2 * de + e2 * de) = 0

Reorder the terms:
(de3 + -12d2e2 + 36d3e) = 0
(de3 + -12d2e2 + 36d3e) = 0

Solving
de3 + -12d2e2 + 36d3e = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'de'.
de(e2 + -12de + 36d2) = 0

Factor a trinomial.
de((e + -6d)(e + -6d)) = 0


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

Simplifying
de = 0

Solving
de = 0

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

Simplifying
de = 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 '(e + -6d)' equal to zero and attempt to solve:

Simplifying
e + -6d = 0

Reorder the terms:
-6d + e = 0

Solving
-6d + e = 0

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

Add '-1e' to each side of the equation.
-6d + e + -1e = 0 + -1e

Combine like terms: e + -1e = 0
-6d + 0 = 0 + -1e
-6d = 0 + -1e
Remove the zero:
-6d = -1e

Divide each side by '-6'.
d = 0.1666666667e

Simplifying
d = 0.1666666667e

Subproblem 3
Set the factor '(e + -6d)' equal to zero and attempt to solve:

Simplifying
e + -6d = 0

Reorder the terms:
-6d + e = 0

Solving
-6d + e = 0

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

Add '-1e' to each side of the equation.
-6d + e + -1e = 0 + -1e

Combine like terms: e + -1e = 0
-6d + 0 = 0 + -1e
-6d = 0 + -1e
Remove the zero:
-6d = -1e

Divide each side by '-6'.
d = 0.1666666667e

Simplifying
d = 0.1666666667e
Solution
d = {0.1666666667e, 0.1666666667e}

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