(x^2+3xy-7)-(x^2-2xy+4)=2x^2+xy+3

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


Simplifying
(x2 + 3xy + -7) + -1(x2 + -2xy + 4) = 2x2 + xy + 3

Reorder the terms:
(-7 + 3xy + x2) + -1(x2 + -2xy + 4) = 2x2 + xy + 3

Remove parenthesis around (-7 + 3xy + x2)
-7 + 3xy + x2 + -1(x2 + -2xy + 4) = 2x2 + xy + 3

Reorder the terms:
-7 + 3xy + x2 + -1(4 + -2xy + x2) = 2x2 + xy + 3
-7 + 3xy + x2 + (4 * -1 + -2xy * -1 + x2 * -1) = 2x2 + xy + 3
-7 + 3xy + x2 + (-4 + 2xy + -1x2) = 2x2 + xy + 3

Reorder the terms:
-7 + -4 + 3xy + 2xy + x2 + -1x2 = 2x2 + xy + 3

Combine like terms: -7 + -4 = -11
-11 + 3xy + 2xy + x2 + -1x2 = 2x2 + xy + 3

Combine like terms: 3xy + 2xy = 5xy
-11 + 5xy + x2 + -1x2 = 2x2 + xy + 3

Combine like terms: x2 + -1x2 = 0
-11 + 5xy + 0 = 2x2 + xy + 3
-11 + 5xy = 2x2 + xy + 3

Reorder the terms:
-11 + 5xy = 3 + xy + 2x2

Solving
-11 + 5xy = 3 + xy + 2x2

Solving for variable 'x'.

Reorder the terms:
-11 + -3 + 5xy + -1xy + -2x2 = 3 + xy + 2x2 + -3 + -1xy + -2x2

Combine like terms: -11 + -3 = -14
-14 + 5xy + -1xy + -2x2 = 3 + xy + 2x2 + -3 + -1xy + -2x2

Combine like terms: 5xy + -1xy = 4xy
-14 + 4xy + -2x2 = 3 + xy + 2x2 + -3 + -1xy + -2x2

Reorder the terms:
-14 + 4xy + -2x2 = 3 + -3 + xy + -1xy + 2x2 + -2x2

Combine like terms: 3 + -3 = 0
-14 + 4xy + -2x2 = 0 + xy + -1xy + 2x2 + -2x2
-14 + 4xy + -2x2 = xy + -1xy + 2x2 + -2x2

Combine like terms: xy + -1xy = 0
-14 + 4xy + -2x2 = 0 + 2x2 + -2x2
-14 + 4xy + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-14 + 4xy + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 2xy + -1x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + 2xy + -1x2)' equal to zero and attempt to solve:

Simplifying
-7 + 2xy + -1x2 = 0

Solving
-7 + 2xy + -1x2 = 0

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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