c^2-14cd+45d^2=0

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Solution for c^2-14cd+45d^2=0 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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