(4x+5y)+(3x-2y)=12x^2+7xy-10y^2

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Solution for (4x+5y)+(3x-2y)=12x^2+7xy-10y^2 equation:


Simplifying
(4x + 5y) + (3x + -2y) = 12x2 + 7xy + -10y2

Remove parenthesis around (4x + 5y)
4x + 5y + (3x + -2y) = 12x2 + 7xy + -10y2

Remove parenthesis around (3x + -2y)
4x + 5y + 3x + -2y = 12x2 + 7xy + -10y2

Reorder the terms:
4x + 3x + 5y + -2y = 12x2 + 7xy + -10y2

Combine like terms: 4x + 3x = 7x
7x + 5y + -2y = 12x2 + 7xy + -10y2

Combine like terms: 5y + -2y = 3y
7x + 3y = 12x2 + 7xy + -10y2

Reorder the terms:
7x + 3y = 7xy + 12x2 + -10y2

Solving
7x + 3y = 7xy + 12x2 + -10y2

Solving for variable 'x'.

Reorder the terms:
7x + -7xy + -12x2 + 3y + 10y2 = 7xy + 12x2 + -10y2 + -7xy + -12x2 + 10y2

Reorder the terms:
7x + -7xy + -12x2 + 3y + 10y2 = 7xy + -7xy + 12x2 + -12x2 + -10y2 + 10y2

Combine like terms: 7xy + -7xy = 0
7x + -7xy + -12x2 + 3y + 10y2 = 0 + 12x2 + -12x2 + -10y2 + 10y2
7x + -7xy + -12x2 + 3y + 10y2 = 12x2 + -12x2 + -10y2 + 10y2

Combine like terms: 12x2 + -12x2 = 0
7x + -7xy + -12x2 + 3y + 10y2 = 0 + -10y2 + 10y2
7x + -7xy + -12x2 + 3y + 10y2 = -10y2 + 10y2

Combine like terms: -10y2 + 10y2 = 0
7x + -7xy + -12x2 + 3y + 10y2 = 0

The solution to this equation could not be determined.

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