(-3t-3v)(-7t-5v)=

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Solution for (-3t-3v)(-7t-5v)= equation: 


Simplifying
(-3t + -3v)(-7t + -5v) = 0

Multiply (-3t + -3v) * (-7t + -5v)
(-3t * (-7t + -5v) + -3v * (-7t + -5v)) = 0
((-7t * -3t + -5v * -3t) + -3v * (-7t + -5v)) = 0

Reorder the terms:
((15tv + 21t2) + -3v * (-7t + -5v)) = 0
((15tv + 21t2) + -3v * (-7t + -5v)) = 0
(15tv + 21t2 + (-7t * -3v + -5v * -3v)) = 0
(15tv + 21t2 + (21tv + 15v2)) = 0

Reorder the terms:
(15tv + 21tv + 21t2 + 15v2) = 0

Combine like terms: 15tv + 21tv = 36tv
(36tv + 21t2 + 15v2) = 0

Solving
36tv + 21t2 + 15v2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3'.
3(12tv + 7t2 + 5v2) = 0

Factor a trinomial.
3((7t + 5v)(t + v)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(7t + 5v)' equal to zero and attempt to solve:

Simplifying
7t + 5v = 0

Solving
7t + 5v = 0

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

Add '-5v' to each side of the equation.
7t + 5v + -5v = 0 + -5v

Combine like terms: 5v + -5v = 0
7t + 0 = 0 + -5v
7t = 0 + -5v
Remove the zero:
7t = -5v

Divide each side by '7'.
t = -0.7142857143v

Simplifying
t = -0.7142857143v

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

Simplifying
t + v = 0

Solving
t + v = 0

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

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

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

Simplifying
t = -1v
Solution
t = {-0.7142857143v, -1v}

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