25c^2+10cd-8d^2=

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Solution for 25c^2+10cd-8d^2= equation: 


Simplifying
25c2 + 10cd + -8d2 = 0

Reorder the terms:
10cd + 25c2 + -8d2 = 0

Solving
10cd + 25c2 + -8d2 = 0

Solving for variable 'c'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(5c + 4d)' equal to zero and attempt to solve:

Simplifying
5c + 4d = 0

Solving
5c + 4d = 0

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

Add '-4d' to each side of the equation.
5c + 4d + -4d = 0 + -4d

Combine like terms: 4d + -4d = 0
5c + 0 = 0 + -4d
5c = 0 + -4d
Remove the zero:
5c = -4d

Divide each side by '5'.
c = -0.8d

Simplifying
c = -0.8d
Solution
c = {0.4d, -0.8d}

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