-9abc-9ac^2+3bc+3c^2=

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Solution for -9abc-9ac^2+3bc+3c^2= equation:


Simplifying
-9abc + -9ac2 + 3bc + 3c2 = 0

Solving
-9abc + -9ac2 + 3bc + 3c2 = 0

Solving for variable 'a'.

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

Add '-3bc' to each side of the equation.
-9abc + -9ac2 + 3bc + -3bc + 3c2 = 0 + -3bc

Combine like terms: 3bc + -3bc = 0
-9abc + -9ac2 + 0 + 3c2 = 0 + -3bc
-9abc + -9ac2 + 3c2 = 0 + -3bc
Remove the zero:
-9abc + -9ac2 + 3c2 = -3bc

Add '-3c2' to each side of the equation.
-9abc + -9ac2 + 3c2 + -3c2 = -3bc + -3c2

Combine like terms: 3c2 + -3c2 = 0
-9abc + -9ac2 + 0 = -3bc + -3c2
-9abc + -9ac2 = -3bc + -3c2

Reorder the terms:
-9abc + -9ac2 + 3bc + 3c2 = -3bc + 3bc + -3c2 + 3c2

Combine like terms: -3bc + 3bc = 0
-9abc + -9ac2 + 3bc + 3c2 = 0 + -3c2 + 3c2
-9abc + -9ac2 + 3bc + 3c2 = -3c2 + 3c2

Combine like terms: -3c2 + 3c2 = 0
-9abc + -9ac2 + 3bc + 3c2 = 0

Factor out the Greatest Common Factor (GCF), '3c'.
3c(-3ab + -3ac + b + c) = 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 a to the left, all other terms to the right. Add '-1c' to each side of the equation. c + -1c = 0 + -1c Remove the zero: 0 = -1c Simplifying 0 = -1c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-3ab + -3ac + b + c)' equal to zero and attempt to solve: Simplifying -3ab + -3ac + b + c = 0 Solving -3ab + -3ac + b + c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -3ab + -3ac + b + -1b + c = 0 + -1b Combine like terms: b + -1b = 0 -3ab + -3ac + 0 + c = 0 + -1b -3ab + -3ac + c = 0 + -1b Remove the zero: -3ab + -3ac + c = -1b Add '-1c' to each side of the equation. -3ab + -3ac + c + -1c = -1b + -1c Combine like terms: c + -1c = 0 -3ab + -3ac + 0 = -1b + -1c -3ab + -3ac = -1b + -1c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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