(y-tx)(8y-tx)=

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Solution for (y-tx)(8y-tx)= equation: 


Simplifying
(y + -1tx)(8y + -1tx) = 0

Reorder the terms:
(-1tx + y)(8y + -1tx) = 0

Reorder the terms:
(-1tx + y)(-1tx + 8y) = 0

Multiply (-1tx + y) * (-1tx + 8y)
(-1tx * (-1tx + 8y) + y(-1tx + 8y)) = 0
((-1tx * -1tx + 8y * -1tx) + y(-1tx + 8y)) = 0

Reorder the terms:
((-8txy + 1t2x2) + y(-1tx + 8y)) = 0
((-8txy + 1t2x2) + y(-1tx + 8y)) = 0
(-8txy + 1t2x2 + (-1tx * y + 8y * y)) = 0
(-8txy + 1t2x2 + (-1txy + 8y2)) = 0

Reorder the terms:
(-8txy + -1txy + 1t2x2 + 8y2) = 0

Combine like terms: -8txy + -1txy = -9txy
(-9txy + 1t2x2 + 8y2) = 0

Solving
-9txy + 1t2x2 + 8y2 = 0

Solving for variable 't'.

Factor a trinomial.
(tx + -8y)(tx + -1y) = 0


Subproblem 1
Set the factor '(tx + -8y)' equal to zero and attempt to solve:

Simplifying
tx + -8y = 0

Solving
tx + -8y = 0

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

Add '8y' to each side of the equation.
tx + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
tx + 0 = 0 + 8y
tx = 0 + 8y
Remove the zero:
tx = 8y

Divide each side by 'x'.
t = 8x-1y

Simplifying
t = 8x-1y

Subproblem 2
Set the factor '(tx + -1y)' equal to zero and attempt to solve:

Simplifying
tx + -1y = 0

Solving
tx + -1y = 0

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

Add 'y' to each side of the equation.
tx + -1y + y = 0 + y

Combine like terms: -1y + y = 0
tx + 0 = 0 + y
tx = 0 + y
Remove the zero:
tx = y

Divide each side by 'x'.
t = x-1y

Simplifying
t = x-1y
Solution
t = {8x-1y, x-1y}

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