9x^2-9xt-4t^2=0

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Solution for 9x^2-9xt-4t^2=0 equation: 


Simplifying
9x2 + -9xt + -4t2 = 0

Reorder the terms:
-9tx + -4t2 + 9x2 = 0

Solving
-9tx + -4t2 + 9x2 = 0

Solving for variable 't'.

Factor a trinomial.
(-1t + -3x)(4t + -3x) = 0


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

Simplifying
-1t + -3x = 0

Solving
-1t + -3x = 0

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

Add '3x' to each side of the equation.
-1t + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
-1t + 0 = 0 + 3x
-1t = 0 + 3x
Remove the zero:
-1t = 3x

Divide each side by '-1'.
t = -3x

Simplifying
t = -3x

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 = {-3x, 0.75x}

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