c^2+11cd+30d^2=

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Solution for c^2+11cd+30d^2= equation:


Simplifying
c2 + 11cd + 30d2 = 0

Reorder the terms:
11cd + c2 + 30d2 = 0

Solving
11cd + c2 + 30d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + 5d)(c + 6d) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(c + 6d)' equal to zero and attempt to solve: Simplifying c + 6d = 0 Solving c + 6d = 0 Move all terms containing c to the left, all other terms to the right. Add '-6d' to each side of the equation. c + 6d + -6d = 0 + -6d Combine like terms: 6d + -6d = 0 c + 0 = 0 + -6d c = 0 + -6d Remove the zero: c = -6d Simplifying c = -6d

Solution

c = {-5d, -6d}

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