q-3x=5q+1forq

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Solution for q-3x=5q+1forq equation:


Simplifying
q + -3x = 5q + 1forq

Reorder the terms:
q + -3x = 1foqr + 5q

Solving
q + -3x = 1foqr + 5q

Solving for variable 'q'.

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

Add '-1foqr' to each side of the equation.
q + -1foqr + -3x = 1foqr + -1foqr + 5q

Reorder the terms:
-1foqr + q + -3x = 1foqr + -1foqr + 5q

Combine like terms: 1foqr + -1foqr = 0
-1foqr + q + -3x = 0 + 5q
-1foqr + q + -3x = 5q

Add '-5q' to each side of the equation.
-1foqr + q + -5q + -3x = 5q + -5q

Combine like terms: q + -5q = -4q
-1foqr + -4q + -3x = 5q + -5q

Combine like terms: 5q + -5q = 0
-1foqr + -4q + -3x = 0

Add '3x' to each side of the equation.
-1foqr + -4q + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
-1foqr + -4q + 0 = 0 + 3x
-1foqr + -4q = 0 + 3x
Remove the zero:
-1foqr + -4q = 3x

Combine like terms: 3x + -3x = 0
-1foqr + -4q + -3x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(foqr + 4q + 3x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(foqr + 4q + 3x)' equal to zero and attempt to solve: Simplifying foqr + 4q + 3x = 0 Solving foqr + 4q + 3x = 0 Move all terms containing q to the left, all other terms to the right. Add '-3x' to each side of the equation. foqr + 4q + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 foqr + 4q + 0 = 0 + -3x foqr + 4q = 0 + -3x Remove the zero: foqr + 4q = -3x 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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