28c^3t-196c^2t^2+343ct^3=

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Solution for 28c^3t-196c^2t^2+343ct^3= equation: 


Simplifying
28c3t + -196c2t2 + 343ct3 = 0

Reorder the terms:
343ct3 + -196c2t2 + 28c3t = 0

Solving
343ct3 + -196c2t2 + 28c3t = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '7ct'.
7ct(49t2 + -28ct + 4c2) = 0

Factor a trinomial.
7ct((7t + -2c)(7t + -2c)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'ct' equal to zero and attempt to solve:

Simplifying
ct = 0

Solving
ct = 0

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

Simplifying
ct = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7t + -2c)' equal to zero and attempt to solve:

Simplifying
7t + -2c = 0

Reorder the terms:
-2c + 7t = 0

Solving
-2c + 7t = 0

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

Add '-7t' to each side of the equation.
-2c + 7t + -7t = 0 + -7t

Combine like terms: 7t + -7t = 0
-2c + 0 = 0 + -7t
-2c = 0 + -7t
Remove the zero:
-2c = -7t

Divide each side by '-2'.
c = 3.5t

Simplifying
c = 3.5t

Subproblem 3
Set the factor '(7t + -2c)' equal to zero and attempt to solve:

Simplifying
7t + -2c = 0

Reorder the terms:
-2c + 7t = 0

Solving
-2c + 7t = 0

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

Add '-7t' to each side of the equation.
-2c + 7t + -7t = 0 + -7t

Combine like terms: 7t + -7t = 0
-2c + 0 = 0 + -7t
-2c = 0 + -7t
Remove the zero:
-2c = -7t

Divide each side by '-2'.
c = 3.5t

Simplifying
c = 3.5t
Solution
c = {3.5t, 3.5t}

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