(7c+2d)(7c+2d)=

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Solution for (7c+2d)(7c+2d)= equation: 


Simplifying
(7c + 2d)(7c + 2d) = 0

Multiply (7c + 2d) * (7c + 2d)
(7c * (7c + 2d) + 2d * (7c + 2d)) = 0
((7c * 7c + 2d * 7c) + 2d * (7c + 2d)) = 0

Reorder the terms:
((14cd + 49c2) + 2d * (7c + 2d)) = 0
((14cd + 49c2) + 2d * (7c + 2d)) = 0
(14cd + 49c2 + (7c * 2d + 2d * 2d)) = 0
(14cd + 49c2 + (14cd + 4d2)) = 0

Reorder the terms:
(14cd + 14cd + 49c2 + 4d2) = 0

Combine like terms: 14cd + 14cd = 28cd
(28cd + 49c2 + 4d2) = 0

Solving
28cd + 49c2 + 4d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(7c + 2d)(7c + 2d) = 0


Subproblem 1
Set the factor '(7c + 2d)' equal to zero and attempt to solve:

Simplifying
7c + 2d = 0

Solving
7c + 2d = 0

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

Add '-2d' to each side of the equation.
7c + 2d + -2d = 0 + -2d

Combine like terms: 2d + -2d = 0
7c + 0 = 0 + -2d
7c = 0 + -2d
Remove the zero:
7c = -2d

Divide each side by '7'.
c = -0.2857142857d

Simplifying
c = -0.2857142857d

Subproblem 2
Set the factor '(7c + 2d)' equal to zero and attempt to solve:

Simplifying
7c + 2d = 0

Solving
7c + 2d = 0

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

Add '-2d' to each side of the equation.
7c + 2d + -2d = 0 + -2d

Combine like terms: 2d + -2d = 0
7c + 0 = 0 + -2d
7c = 0 + -2d
Remove the zero:
7c = -2d

Divide each side by '7'.
c = -0.2857142857d

Simplifying
c = -0.2857142857d
Solution
c = {-0.2857142857d, -0.2857142857d}

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