(9c-2d)(9c-2d)=

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Solution for (9c-2d)(9c-2d)= equation: 


Simplifying
(9c + -2d)(9c + -2d) = 0

Multiply (9c + -2d) * (9c + -2d)
(9c * (9c + -2d) + -2d * (9c + -2d)) = 0
((9c * 9c + -2d * 9c) + -2d * (9c + -2d)) = 0

Reorder the terms:
((-18cd + 81c2) + -2d * (9c + -2d)) = 0
((-18cd + 81c2) + -2d * (9c + -2d)) = 0
(-18cd + 81c2 + (9c * -2d + -2d * -2d)) = 0
(-18cd + 81c2 + (-18cd + 4d2)) = 0

Reorder the terms:
(-18cd + -18cd + 81c2 + 4d2) = 0

Combine like terms: -18cd + -18cd = -36cd
(-36cd + 81c2 + 4d2) = 0

Solving
-36cd + 81c2 + 4d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(9c + -2d)(9c + -2d) = 0


Subproblem 1
Set the factor '(9c + -2d)' equal to zero and attempt to solve:

Simplifying
9c + -2d = 0

Solving
9c + -2d = 0

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

Add '2d' to each side of the equation.
9c + -2d + 2d = 0 + 2d

Combine like terms: -2d + 2d = 0
9c + 0 = 0 + 2d
9c = 0 + 2d
Remove the zero:
9c = 2d

Divide each side by '9'.
c = 0.2222222222d

Simplifying
c = 0.2222222222d

Subproblem 2
Set the factor '(9c + -2d)' equal to zero and attempt to solve:

Simplifying
9c + -2d = 0

Solving
9c + -2d = 0

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

Add '2d' to each side of the equation.
9c + -2d + 2d = 0 + 2d

Combine like terms: -2d + 2d = 0
9c + 0 = 0 + 2d
9c = 0 + 2d
Remove the zero:
9c = 2d

Divide each side by '9'.
c = 0.2222222222d

Simplifying
c = 0.2222222222d
Solution
c = {0.2222222222d, 0.2222222222d}

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