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

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


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

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

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

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

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

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

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

Solving
-9t2 + 16v2 = 0

Solving for variable 't'.

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

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

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

Divide each side by '-9'.
t2 = 1.777777778v2

Simplifying
t2 = 1.777777778v2

Take the square root of each side:
t = {-1.333333333v, 1.333333333v}

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