56c^2+23cd-63d^2=0

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Solution for 56c^2+23cd-63d^2=0 equation: 


Simplifying
56c2 + 23cd + -63d2 = 0

Reorder the terms:
23cd + 56c2 + -63d2 = 0

Solving
23cd + 56c2 + -63d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(8c + -7d)(7c + 9d) = 0


Subproblem 1
Set the factor '(8c + -7d)' equal to zero and attempt to solve:

Simplifying
8c + -7d = 0

Solving
8c + -7d = 0

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

Add '7d' to each side of the equation.
8c + -7d + 7d = 0 + 7d

Combine like terms: -7d + 7d = 0
8c + 0 = 0 + 7d
8c = 0 + 7d
Remove the zero:
8c = 7d

Divide each side by '8'.
c = 0.875d

Simplifying
c = 0.875d

Subproblem 2
Set the factor '(7c + 9d)' equal to zero and attempt to solve:

Simplifying
7c + 9d = 0

Solving
7c + 9d = 0

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

Add '-9d' to each side of the equation.
7c + 9d + -9d = 0 + -9d

Combine like terms: 9d + -9d = 0
7c + 0 = 0 + -9d
7c = 0 + -9d
Remove the zero:
7c = -9d

Divide each side by '7'.
c = -1.285714286d

Simplifying
c = -1.285714286d
Solution
c = {0.875d, -1.285714286d}

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