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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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