(x-2t)(x-2t)=

Solution for (x-2t)(x-2t)= equation:

Simplifying
(x + -2t)(x + -2t) = 0

Reorder the terms:
(-2t + x)(x + -2t) = 0

Reorder the terms:
(-2t + x)(-2t + x) = 0

Multiply (-2t + x) * (-2t + x)
(-2t * (-2t + x) + x(-2t + x)) = 0
((-2t * -2t + x * -2t) + x(-2t + x)) = 0

Reorder the terms:
((-2tx + 4t2) + x(-2t + x)) = 0
((-2tx + 4t2) + x(-2t + x)) = 0
(-2tx + 4t2 + (-2t * x + x * x)) = 0
(-2tx + 4t2 + (-2tx + x2)) = 0

Reorder the terms:
(-2tx + -2tx + 4t2 + x2) = 0

Combine like terms: -2tx + -2tx = -4tx
(-4tx + 4t2 + x2) = 0

Solving
-4tx + 4t2 + x2 = 0

Solving for variable 't'.

Factor a trinomial.
(2t + -1x)(2t + -1x) = 0

Subproblem 1
Set the factor '(2t + -1x)' equal to zero and attempt to solve:

Simplifying
2t + -1x = 0

Solving
2t + -1x = 0

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

Add 'x' to each side of the equation.
2t + -1x + x = 0 + x

Combine like terms: -1x + x = 0
2t + 0 = 0 + x
2t = 0 + x
Remove the zero:
2t = x

Divide each side by '2'.
t = 0.5x

Simplifying
t = 0.5x
Subproblem 2
Set the factor '(2t + -1x)' equal to zero and attempt to solve:

Simplifying
2t + -1x = 0

Solving
2t + -1x = 0

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

Add 'x' to each side of the equation.
2t + -1x + x = 0 + x

Combine like terms: -1x + x = 0
2t + 0 = 0 + x
2t = 0 + x
Remove the zero:
2t = x

Divide each side by '2'.
t = 0.5x

Simplifying
t = 0.5x
Solution
t = {0.5x, 0.5x}