56c^2+19cd-15d^2=

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Solution for 56c^2+19cd-15d^2= equation: 


Simplifying
56c2 + 19cd + -15d2 = 0

Reorder the terms:
19cd + 56c2 + -15d2 = 0

Solving
19cd + 56c2 + -15d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(8c + -3d)(7c + 5d) = 0


Subproblem 1
Set the factor '(8c + -3d)' equal to zero and attempt to solve:

Simplifying
8c + -3d = 0

Solving
8c + -3d = 0

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

Add '3d' to each side of the equation.
8c + -3d + 3d = 0 + 3d

Combine like terms: -3d + 3d = 0
8c + 0 = 0 + 3d
8c = 0 + 3d
Remove the zero:
8c = 3d

Divide each side by '8'.
c = 0.375d

Simplifying
c = 0.375d

Subproblem 2
Set the factor '(7c + 5d)' equal to zero and attempt to solve:

Simplifying
7c + 5d = 0

Solving
7c + 5d = 0

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

Add '-5d' to each side of the equation.
7c + 5d + -5d = 0 + -5d

Combine like terms: 5d + -5d = 0
7c + 0 = 0 + -5d
7c = 0 + -5d
Remove the zero:
7c = -5d

Divide each side by '7'.
c = -0.7142857143d

Simplifying
c = -0.7142857143d
Solution
c = {0.375d, -0.7142857143d}

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