[6D-2E][5D-E]=

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Solution for [6D-2E][5D-E]= equation: 


Simplifying
[6D + -2E][5D + -1E] = 0

Multiply [6D + -2E] * [5D + -1E]
[6D * [5D + -1E] + -2E * [5D + -1E]] = 0
[[5D * 6D + -1E * 6D] + -2E * [5D + -1E]] = 0

Reorder the terms:
[[-6DE + 30D2] + -2E * [5D + -1E]] = 0
[[-6DE + 30D2] + -2E * [5D + -1E]] = 0
[-6DE + 30D2 + [5D * -2E + -1E * -2E]] = 0
[-6DE + 30D2 + [-10DE + 2E2]] = 0

Reorder the terms:
[-6DE + -10DE + 30D2 + 2E2] = 0

Combine like terms: -6DE + -10DE = -16DE
[-16DE + 30D2 + 2E2] = 0

Solving
-16DE + 30D2 + 2E2 = 0

Solving for variable 'D'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8DE + 15D2 + E2) = 0

Factor a trinomial.
2((3D + -1E)(5D + -1E)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3D + -1E)' equal to zero and attempt to solve:

Simplifying
3D + -1E = 0

Solving
3D + -1E = 0

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

Add 'E' to each side of the equation.
3D + -1E + E = 0 + E

Combine like terms: -1E + E = 0
3D + 0 = 0 + E
3D = 0 + E
Remove the zero:
3D = E

Divide each side by '3'.
D = 0.3333333333E

Simplifying
D = 0.3333333333E

Subproblem 2
Set the factor '(5D + -1E)' equal to zero and attempt to solve:

Simplifying
5D + -1E = 0

Solving
5D + -1E = 0

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

Add 'E' to each side of the equation.
5D + -1E + E = 0 + E

Combine like terms: -1E + E = 0
5D + 0 = 0 + E
5D = 0 + E
Remove the zero:
5D = E

Divide each side by '5'.
D = 0.2E

Simplifying
D = 0.2E
Solution
D = {0.3333333333E, 0.2E}

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