c^2-14cd+45d^2=

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Solution for c^2-14cd+45d^2= equation: 


Simplifying
c2 + -14cd + 45d2 = 0

Reorder the terms:
-14cd + c2 + 45d2 = 0

Solving
-14cd + c2 + 45d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -9d)(c + -5d) = 0


Subproblem 1
Set the factor '(c + -9d)' equal to zero and attempt to solve:

Simplifying
c + -9d = 0

Solving
c + -9d = 0

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

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

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

Simplifying
c = 9d

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 = {9d, 5d}

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