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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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