c(c+7)(c-12)=0

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Solution for c(c+7)(c-12)=0 equation: 


Simplifying
c(c + 7)(c + -12) = 0

Reorder the terms:
c(7 + c)(c + -12) = 0

Reorder the terms:
c(7 + c)(-12 + c) = 0

Multiply (7 + c) * (-12 + c)
c(7(-12 + c) + c(-12 + c)) = 0
c((-12 * 7 + c * 7) + c(-12 + c)) = 0
c((-84 + 7c) + c(-12 + c)) = 0
c(-84 + 7c + (-12 * c + c * c)) = 0
c(-84 + 7c + (-12c + c2)) = 0

Combine like terms: 7c + -12c = -5c
c(-84 + -5c + c2) = 0
(-84 * c + -5c * c + c2 * c) = 0
(-84c + -5c2 + c3) = 0

Solving
-84c + -5c2 + c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(-84 + -5c + c2) = 0

Factor a trinomial.
c((-7 + -1c)(12 + -1c)) = 0


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 + -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

Subproblem 3
Set the factor '(12 + -1c)' equal to zero and attempt to solve:

Simplifying
12 + -1c = 0

Solving
12 + -1c = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1c = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1c = 0 + -12
-1c = 0 + -12

Combine like terms: 0 + -12 = -12
-1c = -12

Divide each side by '-1'.
c = 12

Simplifying
c = 12
Solution
c = {0, -7, 12}

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