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Simplifying 12v2 + -29vt + 14t2 = 0 Reorder the terms: -29tv + 14t2 + 12v2 = 0 Solving -29tv + 14t2 + 12v2 = 0 Solving for variable 't'. Factor a trinomial. (2t + -3v)(7t + -4v) = 0Subproblem 1
Set the factor '(2t + -3v)' equal to zero and attempt to solve: Simplifying 2t + -3v = 0 Solving 2t + -3v = 0 Move all terms containing t to the left, all other terms to the right. Add '3v' to each side of the equation. 2t + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 2t + 0 = 0 + 3v 2t = 0 + 3v Remove the zero: 2t = 3v Divide each side by '2'. t = 1.5v Simplifying t = 1.5vSubproblem 2
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 = 0.5714285714vSolution
t = {1.5v, 0.5714285714v}
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