X(7-x)(c-2)=0

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Solution for X(7-x)(c-2)=0 equation: 


Simplifying
X(7 + -1x)(c + -2) = 0

Reorder the terms:
X(7 + -1x)(-2 + c) = 0

Multiply (7 + -1x) * (-2 + c)
X(7(-2 + c) + -1x * (-2 + c)) = 0
X((-2 * 7 + c * 7) + -1x * (-2 + c)) = 0
X((-14 + 7c) + -1x * (-2 + c)) = 0
X(-14 + 7c + (-2 * -1x + c * -1x)) = 0

Reorder the terms:
X(-14 + 7c + (-1cx + 2x)) = 0
X(-14 + 7c + (-1cx + 2x)) = 0
X(-14 + 7c + -1cx + 2x) = 0
(-14 * X + 7c * X + -1cx * X + 2x * X) = 0
(-14X + 7cX + -1cxX + 2xX) = 0

Solving
-14X + 7cX + -1cxX + 2xX = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(-14 + 7c + -1cx + 2x) = 0


Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0

Subproblem 2
Set the factor '(-14 + 7c + -1cx + 2x)' equal to zero and attempt to solve:

Simplifying
-14 + 7c + -1cx + 2x = 0

Solving
-14 + 7c + -1cx + 2x = 0

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

Add '14' to each side of the equation.
-14 + 7c + -1cx + 14 + 2x = 0 + 14

Reorder the terms:
-14 + 14 + 7c + -1cx + 2x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 7c + -1cx + 2x = 0 + 14
7c + -1cx + 2x = 0 + 14

Combine like terms: 0 + 14 = 14
7c + -1cx + 2x = 14

Add '-7c' to each side of the equation.
7c + -1cx + -7c + 2x = 14 + -7c

Reorder the terms:
7c + -7c + -1cx + 2x = 14 + -7c

Combine like terms: 7c + -7c = 0
0 + -1cx + 2x = 14 + -7c
-1cx + 2x = 14 + -7c

Add 'cx' to each side of the equation.
-1cx + cx + 2x = 14 + -7c + cx

Combine like terms: -1cx + cx = 0
0 + 2x = 14 + -7c + cx
2x = 14 + -7c + cx

Add '-2x' to each side of the equation.
2x + -2x = 14 + -7c + cx + -2x

Combine like terms: 2x + -2x = 0
0 = 14 + -7c + cx + -2x

Simplifying
0 = 14 + -7c + cx + -2x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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