20c^2-23cd+6d^2=0

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Solution for 20c^2-23cd+6d^2=0 equation: 


Simplifying
20c2 + -23cd + 6d2 = 0

Reorder the terms:
-23cd + 20c2 + 6d2 = 0

Solving
-23cd + 20c2 + 6d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(4c + -3d)(5c + -2d) = 0


Subproblem 1
Set the factor '(4c + -3d)' equal to zero and attempt to solve:

Simplifying
4c + -3d = 0

Solving
4c + -3d = 0

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

Add '3d' to each side of the equation.
4c + -3d + 3d = 0 + 3d

Combine like terms: -3d + 3d = 0
4c + 0 = 0 + 3d
4c = 0 + 3d
Remove the zero:
4c = 3d

Divide each side by '4'.
c = 0.75d

Simplifying
c = 0.75d

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

Simplifying
5c + -2d = 0

Solving
5c + -2d = 0

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

Add '2d' to each side of the equation.
5c + -2d + 2d = 0 + 2d

Combine like terms: -2d + 2d = 0
5c + 0 = 0 + 2d
5c = 0 + 2d
Remove the zero:
5c = 2d

Divide each side by '5'.
c = 0.4d

Simplifying
c = 0.4d
Solution
c = {0.75d, 0.4d}

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