2c^2(c-6)=14c

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Solution for 2c^2(c-6)=14c equation: 


Simplifying
2c2(c + -6) = 14c

Reorder the terms:
2c2(-6 + c) = 14c
(-6 * 2c2 + c * 2c2) = 14c
(-12c2 + 2c3) = 14c

Solving
-12c2 + 2c3 = 14c

Solving for variable 'c'.

Reorder the terms:
-14c + -12c2 + 2c3 = 14c + -14c

Combine like terms: 14c + -14c = 0
-14c + -12c2 + 2c3 = 0

Factor out the Greatest Common Factor (GCF), '2c'.
2c(-7 + -6c + c2) = 0

Factor a trinomial.
2c((-1 + -1c)(7 + -1c)) = 0

Ignore the factor 2.

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

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0

Subproblem 2
Set the factor '(-1 + -1c)' equal to zero and attempt to solve:

Simplifying
-1 + -1c = 0

Solving
-1 + -1c = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -1c = 0 + 1
-1c = 0 + 1

Combine like terms: 0 + 1 = 1
-1c = 1

Divide each side by '-1'.
c = -1

Simplifying
c = -1

Subproblem 3
Set the factor '(7 + -1c)' equal to zero and attempt to solve:

Simplifying
7 + -1c = 0

Solving
7 + -1c = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1c = 0 + -7
-1c = 0 + -7

Combine like terms: 0 + -7 = -7
-1c = -7

Divide each side by '-1'.
c = 7

Simplifying
c = 7
Solution
c = {0, -1, 7}

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