4xsquared+2ysquared+6(5xsquared-2ysquared)-7x+9=0

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Solution for 4xsquared+2ysquared+6(5xsquared-2ysquared)-7x+9=0 equation:


Simplifying
4xsquared + 2ysquared + 6(5xsquared + -2ysquared) + -7x + 9 = 0
4adeqrsux + 2adeqrsuy + (5adeqrsux * 6 + -2adeqrsuy * 6) + -7x + 9 = 0
4adeqrsux + 2adeqrsuy + (30adeqrsux + -12adeqrsuy) + -7x + 9 = 0

Reorder the terms:
9 + 4adeqrsux + 30adeqrsux + 2adeqrsuy + -12adeqrsuy + -7x = 0

Combine like terms: 4adeqrsux + 30adeqrsux = 34adeqrsux
9 + 34adeqrsux + 2adeqrsuy + -12adeqrsuy + -7x = 0

Combine like terms: 2adeqrsuy + -12adeqrsuy = -10adeqrsuy
9 + 34adeqrsux + -10adeqrsuy + -7x = 0

Solving
9 + 34adeqrsux + -10adeqrsuy + -7x = 0

Solving for variable 'a'.

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

Add '-9' to each side of the equation.
9 + 34adeqrsux + -10adeqrsuy + -9 + -7x = 0 + -9

Reorder the terms:
9 + -9 + 34adeqrsux + -10adeqrsuy + -7x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 34adeqrsux + -10adeqrsuy + -7x = 0 + -9
34adeqrsux + -10adeqrsuy + -7x = 0 + -9

Combine like terms: 0 + -9 = -9
34adeqrsux + -10adeqrsuy + -7x = -9

Add '7x' to each side of the equation.
34adeqrsux + -10adeqrsuy + -7x + 7x = -9 + 7x

Combine like terms: -7x + 7x = 0
34adeqrsux + -10adeqrsuy + 0 = -9 + 7x
34adeqrsux + -10adeqrsuy = -9 + 7x

Reorder the terms:
9 + 34adeqrsux + -10adeqrsuy + -7x = -9 + 7x + 9 + -7x

Reorder the terms:
9 + 34adeqrsux + -10adeqrsuy + -7x = -9 + 9 + 7x + -7x

Combine like terms: -9 + 9 = 0
9 + 34adeqrsux + -10adeqrsuy + -7x = 0 + 7x + -7x
9 + 34adeqrsux + -10adeqrsuy + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
9 + 34adeqrsux + -10adeqrsuy + -7x = 0

The solution to this equation could not be determined.

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