(9x+3y)(2x-7y)=x+3y

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Solution for (9x+3y)(2x-7y)=x+3y equation:


Simplifying
(9x + 3y)(2x + -7y) = x + 3y

Multiply (9x + 3y) * (2x + -7y)
(9x * (2x + -7y) + 3y * (2x + -7y)) = x + 3y
((2x * 9x + -7y * 9x) + 3y * (2x + -7y)) = x + 3y

Reorder the terms:
((-63xy + 18x2) + 3y * (2x + -7y)) = x + 3y
((-63xy + 18x2) + 3y * (2x + -7y)) = x + 3y
(-63xy + 18x2 + (2x * 3y + -7y * 3y)) = x + 3y
(-63xy + 18x2 + (6xy + -21y2)) = x + 3y

Reorder the terms:
(-63xy + 6xy + 18x2 + -21y2) = x + 3y

Combine like terms: -63xy + 6xy = -57xy
(-57xy + 18x2 + -21y2) = x + 3y

Solving
-57xy + 18x2 + -21y2 = x + 3y

Solving for variable 'x'.

Reorder the terms:
-1x + -57xy + 18x2 + -3y + -21y2 = x + 3y + -1x + -3y

Reorder the terms:
-1x + -57xy + 18x2 + -3y + -21y2 = x + -1x + 3y + -3y

Combine like terms: x + -1x = 0
-1x + -57xy + 18x2 + -3y + -21y2 = 0 + 3y + -3y
-1x + -57xy + 18x2 + -3y + -21y2 = 3y + -3y

Combine like terms: 3y + -3y = 0
-1x + -57xy + 18x2 + -3y + -21y2 = 0

The solution to this equation could not be determined.

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