7Q-14XQ=11Q

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Solution for 7Q-14XQ=11Q equation: 


Simplifying
7Q + -14XQ = 11Q

Solving
7Q + -14QX = 11Q

Solving for variable 'Q'.

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

Add '-11Q' to each side of the equation.
7Q + -11Q + -14QX = 11Q + -11Q

Combine like terms: 7Q + -11Q = -4Q
-4Q + -14QX = 11Q + -11Q

Combine like terms: 11Q + -11Q = 0
-4Q + -14QX = 0

Factor out the Greatest Common Factor (GCF), '-2Q'.
-2Q(2 + 7X) = 0

Ignore the factor -2.

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

Simplifying
Q = 0

Solving
Q = 0

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

Simplifying
Q = 0

Subproblem 2
Set the factor '(2 + 7X)' equal to zero and attempt to solve:

Simplifying
2 + 7X = 0

Solving
2 + 7X = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7X = 0 + -2
7X = 0 + -2

Combine like terms: 0 + -2 = -2
7X = -2

Add '-7X' to each side of the equation.
7X + -7X = -2 + -7X

Combine like terms: 7X + -7X = 0
0 = -2 + -7X

Simplifying
0 = -2 + -7X

The solution to this equation could not be determined.

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

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