=-10x^2-2y^2+8xy+32x+20y

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Solution for =-10x^2-2y^2+8xy+32x+20y equation:


Simplifying
0 = -10x2 + -2y2 + 8xy + 32x + 20y

Reorder the terms:
0 = 32x + 8xy + -10x2 + 20y + -2y2

Solving
0 = 32x + 8xy + -10x2 + 20y + -2y2

Solving for variable 'x'.
Remove the zero:
-32x + -8xy + 10x2 + -20y + 2y2 = 32x + 8xy + -10x2 + 20y + -2y2 + -32x + -8xy + 10x2 + -20y + 2y2

Reorder the terms:
-32x + -8xy + 10x2 + -20y + 2y2 = 32x + -32x + 8xy + -8xy + -10x2 + 10x2 + 20y + -20y + -2y2 + 2y2

Combine like terms: 32x + -32x = 0
-32x + -8xy + 10x2 + -20y + 2y2 = 0 + 8xy + -8xy + -10x2 + 10x2 + 20y + -20y + -2y2 + 2y2
-32x + -8xy + 10x2 + -20y + 2y2 = 8xy + -8xy + -10x2 + 10x2 + 20y + -20y + -2y2 + 2y2

Combine like terms: 8xy + -8xy = 0
-32x + -8xy + 10x2 + -20y + 2y2 = 0 + -10x2 + 10x2 + 20y + -20y + -2y2 + 2y2
-32x + -8xy + 10x2 + -20y + 2y2 = -10x2 + 10x2 + 20y + -20y + -2y2 + 2y2

Combine like terms: -10x2 + 10x2 = 0
-32x + -8xy + 10x2 + -20y + 2y2 = 0 + 20y + -20y + -2y2 + 2y2
-32x + -8xy + 10x2 + -20y + 2y2 = 20y + -20y + -2y2 + 2y2

Combine like terms: 20y + -20y = 0
-32x + -8xy + 10x2 + -20y + 2y2 = 0 + -2y2 + 2y2
-32x + -8xy + 10x2 + -20y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-32x + -8xy + 10x2 + -20y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-16x + -4xy + 5x2 + -10y + y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-16x + -4xy + 5x2 + -10y + y2)' equal to zero and attempt to solve:

Simplifying
-16x + -4xy + 5x2 + -10y + y2 = 0

Solving
-16x + -4xy + 5x2 + -10y + y2 = 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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