3c(2c+7)=

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


Simplifying
3c(2c + 7) = 0

Reorder the terms:
3c(7 + 2c) = 0
(7 * 3c + 2c * 3c) = 0
(21c + 6c2) = 0

Solving
21c + 6c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3c'.
3c(7 + 2c) = 0

Ignore the factor 3.

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 + 2c)' equal to zero and attempt to solve:

Simplifying
7 + 2c = 0

Solving
7 + 2c = 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 + 2c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2c = 0 + -7
2c = 0 + -7

Combine like terms: 0 + -7 = -7
2c = -7

Divide each side by '2'.
c = -3.5

Simplifying
c = -3.5
Solution
c = {0, -3.5}

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