0=2y^2+4y-4x^2+2x-164

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Solution for 0=2y^2+4y-4x^2+2x-164 equation:


Simplifying
0 = 2y2 + 4y + -4x2 + 2x + -164

Reorder the terms:
0 = -164 + 2x + -4x2 + 4y + 2y2

Solving
0 = -164 + 2x + -4x2 + 4y + 2y2

Solving for variable 'x'.

Combine like terms: 0 + 164 = 164
164 + -2x + 4x2 + -4y + -2y2 = -164 + 2x + -4x2 + 4y + 2y2 + 164 + -2x + 4x2 + -4y + -2y2

Reorder the terms:
164 + -2x + 4x2 + -4y + -2y2 = -164 + 164 + 2x + -2x + -4x2 + 4x2 + 4y + -4y + 2y2 + -2y2

Combine like terms: -164 + 164 = 0
164 + -2x + 4x2 + -4y + -2y2 = 0 + 2x + -2x + -4x2 + 4x2 + 4y + -4y + 2y2 + -2y2
164 + -2x + 4x2 + -4y + -2y2 = 2x + -2x + -4x2 + 4x2 + 4y + -4y + 2y2 + -2y2

Combine like terms: 2x + -2x = 0
164 + -2x + 4x2 + -4y + -2y2 = 0 + -4x2 + 4x2 + 4y + -4y + 2y2 + -2y2
164 + -2x + 4x2 + -4y + -2y2 = -4x2 + 4x2 + 4y + -4y + 2y2 + -2y2

Combine like terms: -4x2 + 4x2 = 0
164 + -2x + 4x2 + -4y + -2y2 = 0 + 4y + -4y + 2y2 + -2y2
164 + -2x + 4x2 + -4y + -2y2 = 4y + -4y + 2y2 + -2y2

Combine like terms: 4y + -4y = 0
164 + -2x + 4x2 + -4y + -2y2 = 0 + 2y2 + -2y2
164 + -2x + 4x2 + -4y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
164 + -2x + 4x2 + -4y + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(82 + -1x + 2x2 + -2y + -1y2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(82 + -1x + 2x2 + -2y + -1y2)' equal to zero and attempt to solve: Simplifying 82 + -1x + 2x2 + -2y + -1y2 = 0 Solving 82 + -1x + 2x2 + -2y + -1y2 = 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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