x^2+tx-2t^2=0

Solution for x^2+tx-2t^2=0 equation:

Simplifying
x2 + tx + -2t2 = 0

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

Solving
tx + -2t2 + x2 = 0

Solving for variable 't'.

Factor a trinomial.
(-2t + -1x)(t + -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 '(t + -1x)' equal to zero and attempt to solve:

Simplifying
t + -1x = 0

Solving
t + -1x = 0

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

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

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

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