56xc^2-21yd^2+28xd^2-42yc^2=0

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Solution for 56xc^2-21yd^2+28xd^2-42yc^2=0 equation: 


Simplifying
56xc2 + -21yd2 + 28xd2 + -42yc2 = 0

Reorder the terms:
56c2x + -42c2y + 28d2x + -21d2y = 0

Solving
56c2x + -42c2y + 28d2x + -21d2y = 0

Solving for variable 'c'.

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

Add '-28d2x' to each side of the equation.
56c2x + -42c2y + 28d2x + -28d2x + -21d2y = 0 + -28d2x

Combine like terms: 28d2x + -28d2x = 0
56c2x + -42c2y + 0 + -21d2y = 0 + -28d2x
56c2x + -42c2y + -21d2y = 0 + -28d2x
Remove the zero:
56c2x + -42c2y + -21d2y = -28d2x

Add '21d2y' to each side of the equation.
56c2x + -42c2y + -21d2y + 21d2y = -28d2x + 21d2y

Combine like terms: -21d2y + 21d2y = 0
56c2x + -42c2y + 0 = -28d2x + 21d2y
56c2x + -42c2y = -28d2x + 21d2y

Reorder the terms:
56c2x + -42c2y + 28d2x + -21d2y = -28d2x + 28d2x + 21d2y + -21d2y

Combine like terms: -28d2x + 28d2x = 0
56c2x + -42c2y + 28d2x + -21d2y = 0 + 21d2y + -21d2y
56c2x + -42c2y + 28d2x + -21d2y = 21d2y + -21d2y

Combine like terms: 21d2y + -21d2y = 0
56c2x + -42c2y + 28d2x + -21d2y = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(8c2x + -6c2y + 4d2x + -3d2y) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(8c2x + -6c2y + 4d2x + -3d2y)' equal to zero and attempt to solve:

Simplifying
8c2x + -6c2y + 4d2x + -3d2y = 0

Solving
8c2x + -6c2y + 4d2x + -3d2y = 0

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

Add '-4d2x' to each side of the equation.
8c2x + -6c2y + 4d2x + -4d2x + -3d2y = 0 + -4d2x

Combine like terms: 4d2x + -4d2x = 0
8c2x + -6c2y + 0 + -3d2y = 0 + -4d2x
8c2x + -6c2y + -3d2y = 0 + -4d2x
Remove the zero:
8c2x + -6c2y + -3d2y = -4d2x

Add '3d2y' to each side of the equation.
8c2x + -6c2y + -3d2y + 3d2y = -4d2x + 3d2y

Combine like terms: -3d2y + 3d2y = 0
8c2x + -6c2y + 0 = -4d2x + 3d2y
8c2x + -6c2y = -4d2x + 3d2y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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