(6t-4v)(-7t-4v)=

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Solution for (6t-4v)(-7t-4v)= equation: 


Simplifying
(6t + -4v)(-7t + -4v) = 0

Multiply (6t + -4v) * (-7t + -4v)
(6t * (-7t + -4v) + -4v * (-7t + -4v)) = 0
((-7t * 6t + -4v * 6t) + -4v * (-7t + -4v)) = 0

Reorder the terms:
((-24tv + -42t2) + -4v * (-7t + -4v)) = 0
((-24tv + -42t2) + -4v * (-7t + -4v)) = 0
(-24tv + -42t2 + (-7t * -4v + -4v * -4v)) = 0
(-24tv + -42t2 + (28tv + 16v2)) = 0

Reorder the terms:
(-24tv + 28tv + -42t2 + 16v2) = 0

Combine like terms: -24tv + 28tv = 4tv
(4tv + -42t2 + 16v2) = 0

Solving
4tv + -42t2 + 16v2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2tv + -21t2 + 8v2) = 0

Factor a trinomial.
2((-7t + -4v)(3t + -2v)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7t + -4v)' equal to zero and attempt to solve:

Simplifying
-7t + -4v = 0

Solving
-7t + -4v = 0

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

Add '4v' to each side of the equation.
-7t + -4v + 4v = 0 + 4v

Combine like terms: -4v + 4v = 0
-7t + 0 = 0 + 4v
-7t = 0 + 4v
Remove the zero:
-7t = 4v

Divide each side by '-7'.
t = -0.5714285714v

Simplifying
t = -0.5714285714v

Subproblem 2
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
Solution
t = {-0.5714285714v, 0.6666666667v}

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