[2ab+(3c)(3c)][2ab+(3c)(3c)]=

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Solution for [2ab+(3c)(3c)][2ab+(3c)(3c)]= equation: 


Simplifying
[2ab + (3c)(3c)][2ab + (3c)(3c)] = 0

Remove parenthesis around (3c)
[2ab + 3c(3c)][2ab + (3c)(3c)] = 0

Remove parenthesis around (3c)
[2ab + 3c * 3c][2ab + (3c)(3c)] = 0

Reorder the terms for easier multiplication:
[2ab + 3 * 3c * c][2ab + (3c)(3c)] = 0

Multiply 3 * 3
[2ab + 9c * c][2ab + (3c)(3c)] = 0

Multiply c * c
[2ab + 9c2][2ab + (3c)(3c)] = 0

Remove parenthesis around (3c)
[2ab + 9c2][2ab + 3c(3c)] = 0

Remove parenthesis around (3c)
[2ab + 9c2][2ab + 3c * 3c] = 0

Reorder the terms for easier multiplication:
[2ab + 9c2][2ab + 3 * 3c * c] = 0

Multiply 3 * 3
[2ab + 9c2][2ab + 9c * c] = 0

Multiply c * c
[2ab + 9c2][2ab + 9c2] = 0

Multiply [2ab + 9c2] * [2ab + 9c2]
[2ab * [2ab + 9c2] + 9c2 * [2ab + 9c2]] = 0
[[2ab * 2ab + 9c2 * 2ab] + 9c2 * [2ab + 9c2]] = 0

Reorder the terms:
[[18abc2 + 4a2b2] + 9c2 * [2ab + 9c2]] = 0
[[18abc2 + 4a2b2] + 9c2 * [2ab + 9c2]] = 0
[18abc2 + 4a2b2 + [2ab * 9c2 + 9c2 * 9c2]] = 0
[18abc2 + 4a2b2 + [18abc2 + 81c4]] = 0

Reorder the terms:
[18abc2 + 18abc2 + 4a2b2 + 81c4] = 0

Combine like terms: 18abc2 + 18abc2 = 36abc2
[36abc2 + 4a2b2 + 81c4] = 0

Solving
36abc2 + 4a2b2 + 81c4 = 0

Solving for variable 'a'.

Factor a trinomial.
(2ab + 9c2)(2ab + 9c2) = 0


Subproblem 1
Set the factor '(2ab + 9c2)' equal to zero and attempt to solve:

Simplifying
2ab + 9c2 = 0

Solving
2ab + 9c2 = 0

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

Add '-9c2' to each side of the equation.
2ab + 9c2 + -9c2 = 0 + -9c2

Combine like terms: 9c2 + -9c2 = 0
2ab + 0 = 0 + -9c2
2ab = 0 + -9c2
Remove the zero:
2ab = -9c2

Divide each side by '2b'.
a = -4.5b-1c2

Simplifying
a = -4.5b-1c2

Subproblem 2
Set the factor '(2ab + 9c2)' equal to zero and attempt to solve:

Simplifying
2ab + 9c2 = 0

Solving
2ab + 9c2 = 0

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

Add '-9c2' to each side of the equation.
2ab + 9c2 + -9c2 = 0 + -9c2

Combine like terms: 9c2 + -9c2 = 0
2ab + 0 = 0 + -9c2
2ab = 0 + -9c2
Remove the zero:
2ab = -9c2

Divide each side by '2b'.
a = -4.5b-1c2

Simplifying
a = -4.5b-1c2
Solution
a = {-4.5b-1c2, -4.5b-1c2}

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