7ax-14bx+7ay+14by=

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Solution for 7ax-14bx+7ay+14by= equation:


Simplifying
7ax + -14bx + 7ay + 14by = 0

Reorder the terms:
7ax + 7ay + -14bx + 14by = 0

Solving
7ax + 7ay + -14bx + 14by = 0

Solving for variable 'a'.

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

Add '14bx' to each side of the equation.
7ax + 7ay + -14bx + 14bx + 14by = 0 + 14bx

Combine like terms: -14bx + 14bx = 0
7ax + 7ay + 0 + 14by = 0 + 14bx
7ax + 7ay + 14by = 0 + 14bx
Remove the zero:
7ax + 7ay + 14by = 14bx

Add '-14by' to each side of the equation.
7ax + 7ay + 14by + -14by = 14bx + -14by

Combine like terms: 14by + -14by = 0
7ax + 7ay + 0 = 14bx + -14by
7ax + 7ay = 14bx + -14by

Reorder the terms:
7ax + 7ay + -14bx + 14by = 14bx + -14bx + -14by + 14by

Combine like terms: 14bx + -14bx = 0
7ax + 7ay + -14bx + 14by = 0 + -14by + 14by
7ax + 7ay + -14bx + 14by = -14by + 14by

Combine like terms: -14by + 14by = 0
7ax + 7ay + -14bx + 14by = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(ax + ay + -2bx + 2by) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(ax + ay + -2bx + 2by)' equal to zero and attempt to solve: Simplifying ax + ay + -2bx + 2by = 0 Solving ax + ay + -2bx + 2by = 0 Move all terms containing a to the left, all other terms to the right. Add '2bx' to each side of the equation. ax + ay + -2bx + 2bx + 2by = 0 + 2bx Combine like terms: -2bx + 2bx = 0 ax + ay + 0 + 2by = 0 + 2bx ax + ay + 2by = 0 + 2bx Remove the zero: ax + ay + 2by = 2bx Add '-2by' to each side of the equation. ax + ay + 2by + -2by = 2bx + -2by Combine like terms: 2by + -2by = 0 ax + ay + 0 = 2bx + -2by ax + ay = 2bx + -2by 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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