3s-121y+52x+ys-s-y=(y-s+x)(y+s-x)

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Solution for 3s-121y+52x+ys-s-y=(y-s+x)(y+s-x) equation:


Simplifying
3s + -121y + 52x + ys + -1s + -1y = (y + -1s + x)(y + s + -1x)

Reorder the terms:
3s + -1s + sy + 52x + -121y + -1y = (y + -1s + x)(y + s + -1x)

Combine like terms: 3s + -1s = 2s
2s + sy + 52x + -121y + -1y = (y + -1s + x)(y + s + -1x)

Combine like terms: -121y + -1y = -122y
2s + sy + 52x + -122y = (y + -1s + x)(y + s + -1x)

Reorder the terms:
2s + sy + 52x + -122y = (-1s + x + y)(y + s + -1x)

Reorder the terms:
2s + sy + 52x + -122y = (-1s + x + y)(s + -1x + y)

Multiply (-1s + x + y) * (s + -1x + y)
2s + sy + 52x + -122y = (-1s * (s + -1x + y) + x(s + -1x + y) + y(s + -1x + y))
2s + sy + 52x + -122y = ((s * -1s + -1x * -1s + y * -1s) + x(s + -1x + y) + y(s + -1x + y))

Reorder the terms:
2s + sy + 52x + -122y = ((1sx + -1sy + -1s2) + x(s + -1x + y) + y(s + -1x + y))
2s + sy + 52x + -122y = ((1sx + -1sy + -1s2) + x(s + -1x + y) + y(s + -1x + y))
2s + sy + 52x + -122y = (1sx + -1sy + -1s2 + (s * x + -1x * x + y * x) + y(s + -1x + y))

Reorder the terms:
2s + sy + 52x + -122y = (1sx + -1sy + -1s2 + (sx + xy + -1x2) + y(s + -1x + y))
2s + sy + 52x + -122y = (1sx + -1sy + -1s2 + (sx + xy + -1x2) + y(s + -1x + y))
2s + sy + 52x + -122y = (1sx + -1sy + -1s2 + sx + xy + -1x2 + (s * y + -1x * y + y * y))
2s + sy + 52x + -122y = (1sx + -1sy + -1s2 + sx + xy + -1x2 + (sy + -1xy + y2))

Reorder the terms:
2s + sy + 52x + -122y = (1sx + sx + -1sy + sy + -1s2 + xy + -1xy + -1x2 + y2)

Combine like terms: 1sx + sx = 2sx
2s + sy + 52x + -122y = (2sx + -1sy + sy + -1s2 + xy + -1xy + -1x2 + y2)

Combine like terms: -1sy + sy = 0
2s + sy + 52x + -122y = (2sx + 0 + -1s2 + xy + -1xy + -1x2 + y2)
2s + sy + 52x + -122y = (2sx + -1s2 + xy + -1xy + -1x2 + y2)

Combine like terms: xy + -1xy = 0
2s + sy + 52x + -122y = (2sx + -1s2 + 0 + -1x2 + y2)
2s + sy + 52x + -122y = (2sx + -1s2 + -1x2 + y2)

Solving
2s + sy + 52x + -122y = 2sx + -1s2 + -1x2 + y2

Solving for variable 's'.

Reorder the terms:
2s + -2sx + sy + s2 + 52x + x2 + -122y + -1y2 = 2sx + -1s2 + -1x2 + y2 + -2sx + s2 + x2 + -1y2

Reorder the terms:
2s + -2sx + sy + s2 + 52x + x2 + -122y + -1y2 = 2sx + -2sx + -1s2 + s2 + -1x2 + x2 + y2 + -1y2

Combine like terms: 2sx + -2sx = 0
2s + -2sx + sy + s2 + 52x + x2 + -122y + -1y2 = 0 + -1s2 + s2 + -1x2 + x2 + y2 + -1y2
2s + -2sx + sy + s2 + 52x + x2 + -122y + -1y2 = -1s2 + s2 + -1x2 + x2 + y2 + -1y2

Combine like terms: -1s2 + s2 = 0
2s + -2sx + sy + s2 + 52x + x2 + -122y + -1y2 = 0 + -1x2 + x2 + y2 + -1y2
2s + -2sx + sy + s2 + 52x + x2 + -122y + -1y2 = -1x2 + x2 + y2 + -1y2

Combine like terms: -1x2 + x2 = 0
2s + -2sx + sy + s2 + 52x + x2 + -122y + -1y2 = 0 + y2 + -1y2
2s + -2sx + sy + s2 + 52x + x2 + -122y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
2s + -2sx + sy + s2 + 52x + x2 + -122y + -1y2 = 0

The solution to this equation could not be determined.

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