2c(3c+7)=

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Solution for 2c(3c+7)= equation: 


Simplifying
2c(3c + 7) = 0

Reorder the terms:
2c(7 + 3c) = 0
(7 * 2c + 3c * 2c) = 0
(14c + 6c2) = 0

Solving
14c + 6c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(7 + 3c) = 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 '(7 + 3c)' equal to zero and attempt to solve:

Simplifying
7 + 3c = 0

Solving
7 + 3c = 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 + 3c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3c = 0 + -7
3c = 0 + -7

Combine like terms: 0 + -7 = -7
3c = -7

Divide each side by '3'.
c = -2.333333333

Simplifying
c = -2.333333333
Solution
c = {0, -2.333333333}

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