17(Q)-14(X)(Q)=11(Q)

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Solution for 17(Q)-14(X)(Q)=11(Q) equation: 


Simplifying
17(Q) + -14(X)(Q) = 11(Q)

Multiply X * Q
17Q + -14QX = 11(Q)

Solving
17Q + -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.
17Q + -11Q + -14QX = 11Q + -11Q

Combine like terms: 17Q + -11Q = 6Q
6Q + -14QX = 11Q + -11Q

Combine like terms: 11Q + -11Q = 0
6Q + -14QX = 0

Factor out the Greatest Common Factor (GCF), '2Q'.
2Q(3 + -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 '(3 + -7X)' equal to zero and attempt to solve:

Simplifying
3 + -7X = 0

Solving
3 + -7X = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7X = 0 + -3
-7X = 0 + -3

Combine like terms: 0 + -3 = -3
-7X = -3

Add '7X' to each side of the equation.
-7X + 7X = -3 + 7X

Combine like terms: -7X + 7X = 0
0 = -3 + 7X

Simplifying
0 = -3 + 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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