2c^2-12cd+10d^2=0

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Solution for 2c^2-12cd+10d^2=0 equation:


Simplifying
2c2 + -12cd + 10d2 = 0

Reorder the terms:
-12cd + 2c2 + 10d2 = 0

Solving
-12cd + 2c2 + 10d2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6cd + c2 + 5d2) = 0

Factor a trinomial.
2((c + -5d)(c + -1d)) = 0

Ignore the factor 2.

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 + -1d)' equal to zero and attempt to solve:

Simplifying
c + -1d = 0

Solving
c + -1d = 0

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

Add 'd' to each side of the equation.
c + -1d + d = 0 + d

Combine like terms: -1d + d = 0
c + 0 = 0 + d
c = 0 + d
Remove the zero:
c = d

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

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