(-5t-5v)(-6t-4v)=

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Solution for (-5t-5v)(-6t-4v)= equation: 


Simplifying
(-5t + -5v)(-6t + -4v) = 0

Multiply (-5t + -5v) * (-6t + -4v)
(-5t * (-6t + -4v) + -5v * (-6t + -4v)) = 0
((-6t * -5t + -4v * -5t) + -5v * (-6t + -4v)) = 0

Reorder the terms:
((20tv + 30t2) + -5v * (-6t + -4v)) = 0
((20tv + 30t2) + -5v * (-6t + -4v)) = 0
(20tv + 30t2 + (-6t * -5v + -4v * -5v)) = 0
(20tv + 30t2 + (30tv + 20v2)) = 0

Reorder the terms:
(20tv + 30tv + 30t2 + 20v2) = 0

Combine like terms: 20tv + 30tv = 50tv
(50tv + 30t2 + 20v2) = 0

Solving
50tv + 30t2 + 20v2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '10'.
10(5tv + 3t2 + 2v2) = 0

Factor a trinomial.
10((3t + 2v)(t + v)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(3t + 2v)' equal to zero and attempt to solve:

Simplifying
3t + 2v = 0

Solving
3t + 2v = 0

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

Add '-2v' to each side of the equation.
3t + 2v + -2v = 0 + -2v

Combine like terms: 2v + -2v = 0
3t + 0 = 0 + -2v
3t = 0 + -2v
Remove the zero:
3t = -2v

Divide each side by '3'.
t = -0.6666666667v

Simplifying
t = -0.6666666667v

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 = {-0.6666666667v, -1v}

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