6x(3t+9+0)5x(3t-5t)=0

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Solution for 6x(3t+9+0)5x(3t-5t)=0 equation: 


Simplifying
6x(3t + 9 + 0) * 5x(3t + -5t) = 0

Reorder the terms:
6x(9 + 0 + 3t) * 5x(3t + -5t) = 0

Combine like terms: 9 + 0 = 9
6x(9 + 3t) * 5x(3t + -5t) = 0

Combine like terms: 3t + -5t = -2t
6x(9 + 3t) * 5x(-2t) = 0

Remove parenthesis around (-2t)
6x(9 + 3t) * 5x * -2t = 0

Reorder the terms for easier multiplication:
6 * 5 * -2x * x * t(9 + 3t) = 0

Multiply 6 * 5
30 * -2x * x * t(9 + 3t) = 0

Multiply 30 * -2
-60x * x * t(9 + 3t) = 0

Multiply x * x
-60x2 * t(9 + 3t) = 0

Multiply x2 * t
-60tx2(9 + 3t) = 0
(9 * -60tx2 + 3t * -60tx2) = 0
(-540tx2 + -180t2x2) = 0

Solving
-540tx2 + -180t2x2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-180tx2'.
-180tx2(3 + t) = 0

Ignore the factor -180.

Subproblem 1
Set the factor 'tx2' equal to zero and attempt to solve:

Simplifying
tx2 = 0

Solving
tx2 = 0

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

Simplifying
tx2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
3 + t = 0

Solving
3 + t = 0

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

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

Combine like terms: 3 + -3 = 0
0 + t = 0 + -3
t = 0 + -3

Combine like terms: 0 + -3 = -3
t = -3

Simplifying
t = -3
Solution
t = {-3}

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