t^2-2tx-24x^2=

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Solution for t^2-2tx-24x^2= equation: 


Simplifying
t2 + -2tx + -24x2 = 0

Reorder the terms:
-2tx + t2 + -24x2 = 0

Solving
-2tx + t2 + -24x2 = 0

Solving for variable 't'.

Factor a trinomial.
(t + -6x)(t + 4x) = 0


Subproblem 1
Set the factor '(t + -6x)' equal to zero and attempt to solve:

Simplifying
t + -6x = 0

Solving
t + -6x = 0

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

Add '6x' to each side of the equation.
t + -6x + 6x = 0 + 6x

Combine like terms: -6x + 6x = 0
t + 0 = 0 + 6x
t = 0 + 6x
Remove the zero:
t = 6x

Simplifying
t = 6x

Subproblem 2
Set the factor '(t + 4x)' equal to zero and attempt to solve:

Simplifying
t + 4x = 0

Solving
t + 4x = 0

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

Add '-4x' to each side of the equation.
t + 4x + -4x = 0 + -4x

Combine like terms: 4x + -4x = 0
t + 0 = 0 + -4x
t = 0 + -4x
Remove the zero:
t = -4x

Simplifying
t = -4x
Solution
t = {6x, -4x}

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