12x^2-25xt+12t^2=0

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Solution for 12x^2-25xt+12t^2=0 equation: 


Simplifying
12x2 + -25xt + 12t2 = 0

Reorder the terms:
-25tx + 12t2 + 12x2 = 0

Solving
-25tx + 12t2 + 12x2 = 0

Solving for variable 't'.

Factor a trinomial.
(3t + -4x)(4t + -3x) = 0


Subproblem 1
Set the factor '(3t + -4x)' equal to zero and attempt to solve:

Simplifying
3t + -4x = 0

Solving
3t + -4x = 0

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

Add '4x' to each side of the equation.
3t + -4x + 4x = 0 + 4x

Combine like terms: -4x + 4x = 0
3t + 0 = 0 + 4x
3t = 0 + 4x
Remove the zero:
3t = 4x

Divide each side by '3'.
t = 1.333333333x

Simplifying
t = 1.333333333x

Subproblem 2
Set the factor '(4t + -3x)' equal to zero and attempt to solve:

Simplifying
4t + -3x = 0

Solving
4t + -3x = 0

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

Add '3x' to each side of the equation.
4t + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
4t + 0 = 0 + 3x
4t = 0 + 3x
Remove the zero:
4t = 3x

Divide each side by '4'.
t = 0.75x

Simplifying
t = 0.75x
Solution
t = {1.333333333x, 0.75x}

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