2c^2+5cd-25d^2=0

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Solution for 2c^2+5cd-25d^2=0 equation: 


Simplifying
2c2 + 5cd + -25d2 = 0

Reorder the terms:
5cd + 2c2 + -25d2 = 0

Solving
5cd + 2c2 + -25d2 = 0

Solving for variable 'c'.

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


Subproblem 1
Set the factor '(2c + -5d)' equal to zero and attempt to solve:

Simplifying
2c + -5d = 0

Solving
2c + -5d = 0

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

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

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

Divide each side by '2'.
c = 2.5d

Simplifying
c = 2.5d

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

Simplifying
c + 5d = 0

Solving
c + 5d = 0

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

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

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

Simplifying
c = -5d
Solution
c = {2.5d, -5d}

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