-cx+cy+cz=0

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Solution for -cx+cy+cz=0 equation:


Simplifying
-1cx + cy + cz = 0

Solving
-1cx + cy + cz = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), 'c'.
c(-1x + y + z) = 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 '(-1x + y + z)' equal to zero and attempt to solve: Simplifying -1x + y + z = 0 Solving -1x + y + z = 0 Move all terms containing c to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + y + x + z = 0 + x Reorder the terms: -1x + x + y + z = 0 + x Combine like terms: -1x + x = 0 0 + y + z = 0 + x y + z = 0 + x Remove the zero: y + z = x Add '-1y' to each side of the equation. y + -1y + z = x + -1y Combine like terms: y + -1y = 0 0 + z = x + -1y z = x + -1y Add '-1z' to each side of the equation. z + -1z = x + -1y + -1z Combine like terms: z + -1z = 0 0 = x + -1y + -1z Simplifying 0 = x + -1y + -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

c = {0}

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