(3v+4t)(3v-4t)=

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Solution for (3v+4t)(3v-4t)= equation:


Simplifying
(3v + 4t)(3v + -4t) = 0

Reorder the terms:
(4t + 3v)(3v + -4t) = 0

Reorder the terms:
(4t + 3v)(-4t + 3v) = 0

Multiply (4t + 3v) * (-4t + 3v)
(4t * (-4t + 3v) + 3v * (-4t + 3v)) = 0
((-4t * 4t + 3v * 4t) + 3v * (-4t + 3v)) = 0

Reorder the terms:
((12tv + -16t2) + 3v * (-4t + 3v)) = 0
((12tv + -16t2) + 3v * (-4t + 3v)) = 0
(12tv + -16t2 + (-4t * 3v + 3v * 3v)) = 0
(12tv + -16t2 + (-12tv + 9v2)) = 0

Reorder the terms:
(12tv + -12tv + -16t2 + 9v2) = 0

Combine like terms: 12tv + -12tv = 0
(0 + -16t2 + 9v2) = 0
(-16t2 + 9v2) = 0

Solving
-16t2 + 9v2 = 0

Solving for variable 't'.

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

Add '-9v2' to each side of the equation.
-16t2 + 9v2 + -9v2 = 0 + -9v2

Combine like terms: 9v2 + -9v2 = 0
-16t2 + 0 = 0 + -9v2
-16t2 = 0 + -9v2
Remove the zero:
-16t2 = -9v2

Divide each side by '-16'.
t2 = 0.5625v2

Simplifying
t2 = 0.5625v2

Take the square root of each side:
t = {-0.75v, 0.75v}

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