(c^6+7c^5+10c^4)[c^4(c+2)]=

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Solution for (c^6+7c^5+10c^4)[c^4(c+2)]= equation: 


Simplifying
(c6 + 7c5 + 10c4)[c4(c + 2)] = 0

Reorder the terms:
(10c4 + 7c5 + c6)[c4(c + 2)] = 0

Reorder the terms:
(10c4 + 7c5 + c6)[c4(2 + c)] = 0
(10c4 + 7c5 + c6)[(2 * c4 + c * c4)] = 0
(10c4 + 7c5 + c6)[(2c4 + c5)] = 0

Multiply (10c4 + 7c5 + c6) * [2c4 + c5]
(10c4 * [2c4 + c5] + 7c5 * [2c4 + c5] + c6[2c4 + c5]) = 0
([2c4 * 10c4 + c5 * 10c4] + 7c5 * [2c4 + c5] + c6[2c4 + c5]) = 0
([20c8 + 10c9] + 7c5 * [2c4 + c5] + c6[2c4 + c5]) = 0
(20c8 + 10c9 + [2c4 * 7c5 + c5 * 7c5] + c6[2c4 + c5]) = 0
(20c8 + 10c9 + [14c9 + 7c10] + c6[2c4 + c5]) = 0
(20c8 + 10c9 + 14c9 + 7c10 + [2c4 * c6 + c5 * c6]) = 0
(20c8 + 10c9 + 14c9 + 7c10 + [2c10 + c11]) = 0

Combine like terms: 10c9 + 14c9 = 24c9
(20c8 + 24c9 + 7c10 + 2c10 + c11) = 0

Combine like terms: 7c10 + 2c10 = 9c10
(20c8 + 24c9 + 9c10 + c11) = 0

Solving
20c8 + 24c9 + 9c10 + c11 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c8'.
c8(20 + 24c + 9c2 + c3) = 0


Subproblem 1
Set the factor 'c8' equal to zero and attempt to solve:

Simplifying
c8 = 0

Solving
c8 = 0

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

Simplifying
c8 = 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 '(20 + 24c + 9c2 + c3)' equal to zero and attempt to solve:

Simplifying
20 + 24c + 9c2 + c3 = 0

Solving
20 + 24c + 9c2 + c3 = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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