4x^2-5y^2+30x+2y+52=x+y+4

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Solution for 4x^2-5y^2+30x+2y+52=x+y+4 equation:


Simplifying
4x2 + -5y2 + 30x + 2y + 52 = x + y + 4

Reorder the terms:
52 + 30x + 4x2 + 2y + -5y2 = x + y + 4

Reorder the terms:
52 + 30x + 4x2 + 2y + -5y2 = 4 + x + y

Solving
52 + 30x + 4x2 + 2y + -5y2 = 4 + x + y

Solving for variable 'x'.

Reorder the terms:
52 + -4 + 30x + -1x + 4x2 + 2y + -1y + -5y2 = 4 + x + y + -4 + -1x + -1y

Combine like terms: 52 + -4 = 48
48 + 30x + -1x + 4x2 + 2y + -1y + -5y2 = 4 + x + y + -4 + -1x + -1y

Combine like terms: 30x + -1x = 29x
48 + 29x + 4x2 + 2y + -1y + -5y2 = 4 + x + y + -4 + -1x + -1y

Combine like terms: 2y + -1y = 1y
48 + 29x + 4x2 + 1y + -5y2 = 4 + x + y + -4 + -1x + -1y

Reorder the terms:
48 + 29x + 4x2 + 1y + -5y2 = 4 + -4 + x + -1x + y + -1y

Combine like terms: 4 + -4 = 0
48 + 29x + 4x2 + 1y + -5y2 = 0 + x + -1x + y + -1y
48 + 29x + 4x2 + 1y + -5y2 = x + -1x + y + -1y

Combine like terms: x + -1x = 0
48 + 29x + 4x2 + 1y + -5y2 = 0 + y + -1y
48 + 29x + 4x2 + 1y + -5y2 = y + -1y

Combine like terms: y + -1y = 0
48 + 29x + 4x2 + 1y + -5y2 = 0

The solution to this equation could not be determined.

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