(t+x+y)(t-x-y)=

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Solution for (t+x+y)(t-x-y)= equation: 


Simplifying
(t + x + y)(t + -1x + -1y) = 0

Multiply (t + x + y) * (t + -1x + -1y)
(t(t + -1x + -1y) + x(t + -1x + -1y) + y(t + -1x + -1y)) = 0
((t * t + -1x * t + -1y * t) + x(t + -1x + -1y) + y(t + -1x + -1y)) = 0

Reorder the terms:
((-1tx + -1ty + t2) + x(t + -1x + -1y) + y(t + -1x + -1y)) = 0
((-1tx + -1ty + t2) + x(t + -1x + -1y) + y(t + -1x + -1y)) = 0
(-1tx + -1ty + t2 + (t * x + -1x * x + -1y * x) + y(t + -1x + -1y)) = 0

Reorder the terms:
(-1tx + -1ty + t2 + (tx + -1xy + -1x2) + y(t + -1x + -1y)) = 0
(-1tx + -1ty + t2 + (tx + -1xy + -1x2) + y(t + -1x + -1y)) = 0
(-1tx + -1ty + t2 + tx + -1xy + -1x2 + (t * y + -1x * y + -1y * y)) = 0
(-1tx + -1ty + t2 + tx + -1xy + -1x2 + (ty + -1xy + -1y2)) = 0

Reorder the terms:
(-1tx + tx + -1ty + ty + t2 + -1xy + -1xy + -1x2 + -1y2) = 0

Combine like terms: -1tx + tx = 0
(0 + -1ty + ty + t2 + -1xy + -1xy + -1x2 + -1y2) = 0
(-1ty + ty + t2 + -1xy + -1xy + -1x2 + -1y2) = 0

Combine like terms: -1ty + ty = 0
(0 + t2 + -1xy + -1xy + -1x2 + -1y2) = 0
(t2 + -1xy + -1xy + -1x2 + -1y2) = 0

Combine like terms: -1xy + -1xy = -2xy
(t2 + -2xy + -1x2 + -1y2) = 0

Solving
t2 + -2xy + -1x2 + -1y2 = 0

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '2xy' to each side of the equation.
t2 + -2xy + -1x2 + 2xy + -1y2 = 0 + 2xy

Reorder the terms:
t2 + -2xy + 2xy + -1x2 + -1y2 = 0 + 2xy

Combine like terms: -2xy + 2xy = 0
t2 + 0 + -1x2 + -1y2 = 0 + 2xy
t2 + -1x2 + -1y2 = 0 + 2xy
Remove the zero:
t2 + -1x2 + -1y2 = 2xy

Add 'x2' to each side of the equation.
t2 + -1x2 + x2 + -1y2 = 2xy + x2

Combine like terms: -1x2 + x2 = 0
t2 + 0 + -1y2 = 2xy + x2
t2 + -1y2 = 2xy + x2

Add 'y2' to each side of the equation.
t2 + -1y2 + y2 = 2xy + x2 + y2

Combine like terms: -1y2 + y2 = 0
t2 + 0 = 2xy + x2 + y2
t2 = 2xy + x2 + y2

Simplifying
t2 = 2xy + x2 + y2

Reorder the terms:
t2 + -2xy + -1x2 + -1y2 = 2xy + -2xy + x2 + -1x2 + y2 + -1y2

Combine like terms: 2xy + -2xy = 0
t2 + -2xy + -1x2 + -1y2 = 0 + x2 + -1x2 + y2 + -1y2
t2 + -2xy + -1x2 + -1y2 = x2 + -1x2 + y2 + -1y2

Combine like terms: x2 + -1x2 = 0
t2 + -2xy + -1x2 + -1y2 = 0 + y2 + -1y2
t2 + -2xy + -1x2 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
t2 + -2xy + -1x2 + -1y2 = 0

The solution to this equation could not be determined.

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