4c(-c+4c-7)=0

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Solution for 4c(-c+4c-7)=0 equation: 


Simplifying
4c(-1c + 4c + -7) = 0

Reorder the terms:
4c(-7 + -1c + 4c) = 0

Combine like terms: -1c + 4c = 3c
4c(-7 + 3c) = 0
(-7 * 4c + 3c * 4c) = 0
(-28c + 12c2) = 0

Solving
-28c + 12c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4c'.
4c(-7 + 3c) = 0

Ignore the factor 4.

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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