(4ax-14bx)+(35by-10ay)=0

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Solution for (4ax-14bx)+(35by-10ay)=0 equation:


Simplifying
(4ax + -14bx) + (35by + -10ay) = 0

Remove parenthesis around (4ax + -14bx)
4ax + -14bx + (35by + -10ay) = 0

Reorder the terms:
4ax + -14bx + (-10ay + 35by) = 0

Remove parenthesis around (-10ay + 35by)
4ax + -14bx + -10ay + 35by = 0

Reorder the terms:
4ax + -10ay + -14bx + 35by = 0

Solving
4ax + -10ay + -14bx + 35by = 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.
4ax + -10ay + -14bx + 14bx + 35by = 0 + 14bx

Combine like terms: -14bx + 14bx = 0
4ax + -10ay + 0 + 35by = 0 + 14bx
4ax + -10ay + 35by = 0 + 14bx
Remove the zero:
4ax + -10ay + 35by = 14bx

Add '-35by' to each side of the equation.
4ax + -10ay + 35by + -35by = 14bx + -35by

Combine like terms: 35by + -35by = 0
4ax + -10ay + 0 = 14bx + -35by
4ax + -10ay = 14bx + -35by

Reorder the terms:
4ax + -10ay + -14bx + 35by = 14bx + -14bx + -35by + 35by

Combine like terms: 14bx + -14bx = 0
4ax + -10ay + -14bx + 35by = 0 + -35by + 35by
4ax + -10ay + -14bx + 35by = -35by + 35by

Combine like terms: -35by + 35by = 0
4ax + -10ay + -14bx + 35by = 0

The solution to this equation could not be determined.

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