(3v-6t)(3v+5t)=

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Solution for (3v-6t)(3v+5t)= equation: 


Simplifying
(3v + -6t)(3v + 5t) = 0

Reorder the terms:
(-6t + 3v)(3v + 5t) = 0

Reorder the terms:
(-6t + 3v)(5t + 3v) = 0

Multiply (-6t + 3v) * (5t + 3v)
(-6t * (5t + 3v) + 3v * (5t + 3v)) = 0
((5t * -6t + 3v * -6t) + 3v * (5t + 3v)) = 0

Reorder the terms:
((-18tv + -30t2) + 3v * (5t + 3v)) = 0
((-18tv + -30t2) + 3v * (5t + 3v)) = 0
(-18tv + -30t2 + (5t * 3v + 3v * 3v)) = 0
(-18tv + -30t2 + (15tv + 9v2)) = 0

Reorder the terms:
(-18tv + 15tv + -30t2 + 9v2) = 0

Combine like terms: -18tv + 15tv = -3tv
(-3tv + -30t2 + 9v2) = 0

Solving
-3tv + -30t2 + 9v2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1tv + -10t2 + 3v2) = 0

Factor a trinomial.
3((-5t + -3v)(2t + -1v)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5t + -3v)' equal to zero and attempt to solve:

Simplifying
-5t + -3v = 0

Solving
-5t + -3v = 0

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

Add '3v' to each side of the equation.
-5t + -3v + 3v = 0 + 3v

Combine like terms: -3v + 3v = 0
-5t + 0 = 0 + 3v
-5t = 0 + 3v
Remove the zero:
-5t = 3v

Divide each side by '-5'.
t = -0.6v

Simplifying
t = -0.6v

Subproblem 2
Set the factor '(2t + -1v)' equal to zero and attempt to solve:

Simplifying
2t + -1v = 0

Solving
2t + -1v = 0

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

Add 'v' to each side of the equation.
2t + -1v + v = 0 + v

Combine like terms: -1v + v = 0
2t + 0 = 0 + v
2t = 0 + v
Remove the zero:
2t = v

Divide each side by '2'.
t = 0.5v

Simplifying
t = 0.5v
Solution
t = {-0.6v, 0.5v}

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