[(6r+7d)+3][(6r+7d)-3]=

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Solution for [(6r+7d)+3][(6r+7d)-3]= equation: 


Simplifying
[(6r + 7d) + 3][(6r + 7d) + -3] = 0

Reorder the terms:
[(7d + 6r) + 3][(6r + 7d) + -3] = 0

Remove parenthesis around (7d + 6r)
[7d + 6r + 3][(6r + 7d) + -3] = 0

Reorder the terms:
[3 + 7d + 6r][(6r + 7d) + -3] = 0

Reorder the terms:
[3 + 7d + 6r][(7d + 6r) + -3] = 0

Remove parenthesis around (7d + 6r)
[3 + 7d + 6r][7d + 6r + -3] = 0

Reorder the terms:
[3 + 7d + 6r][-3 + 7d + 6r] = 0

Multiply [3 + 7d + 6r] * [-3 + 7d + 6r]
[3[-3 + 7d + 6r] + 7d * [-3 + 7d + 6r] + 6r * [-3 + 7d + 6r]] = 0
[[-3 * 3 + 7d * 3 + 6r * 3] + 7d * [-3 + 7d + 6r] + 6r * [-3 + 7d + 6r]] = 0
[[-9 + 21d + 18r] + 7d * [-3 + 7d + 6r] + 6r * [-3 + 7d + 6r]] = 0
[-9 + 21d + 18r + [-3 * 7d + 7d * 7d + 6r * 7d] + 6r * [-3 + 7d + 6r]] = 0

Reorder the terms:
[-9 + 21d + 18r + [-21d + 42dr + 49d2] + 6r * [-3 + 7d + 6r]] = 0
[-9 + 21d + 18r + [-21d + 42dr + 49d2] + 6r * [-3 + 7d + 6r]] = 0
[-9 + 21d + 18r + -21d + 42dr + 49d2 + [-3 * 6r + 7d * 6r + 6r * 6r]] = 0

Reorder the terms:
[-9 + 21d + 18r + -21d + 42dr + 49d2 + [42dr + -18r + 36r2]] = 0
[-9 + 21d + 18r + -21d + 42dr + 49d2 + [42dr + -18r + 36r2]] = 0

Reorder the terms:
[-9 + 21d + -21d + 42dr + 42dr + 49d2 + 18r + -18r + 36r2] = 0

Combine like terms: 21d + -21d = 0
[-9 + 0 + 42dr + 42dr + 49d2 + 18r + -18r + 36r2] = 0
[-9 + 42dr + 42dr + 49d2 + 18r + -18r + 36r2] = 0

Combine like terms: 42dr + 42dr = 84dr
[-9 + 84dr + 49d2 + 18r + -18r + 36r2] = 0

Combine like terms: 18r + -18r = 0
[-9 + 84dr + 49d2 + 0 + 36r2] = 0
[-9 + 84dr + 49d2 + 36r2] = 0

Solving
-9 + 84dr + 49d2 + 36r2 = 0

Solving for variable 'd'.

The solution to this equation could not be determined.

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