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Simplifying 12t2 + -17tv + -5v2 = 0 Reorder the terms: -17tv + 12t2 + -5v2 = 0 Solving -17tv + 12t2 + -5v2 = 0 Solving for variable 't'. Factor a trinomial. (3t + -5v)(4t + v) = 0Subproblem 1
Set the factor '(3t + -5v)' equal to zero and attempt to solve: Simplifying 3t + -5v = 0 Solving 3t + -5v = 0 Move all terms containing t to the left, all other terms to the right. Add '5v' to each side of the equation. 3t + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 3t + 0 = 0 + 5v 3t = 0 + 5v Remove the zero: 3t = 5v Divide each side by '3'. t = 1.666666667v Simplifying t = 1.666666667vSubproblem 2
Set the factor '(4t + v)' equal to zero and attempt to solve: Simplifying 4t + v = 0 Solving 4t + v = 0 Move all terms containing t to the left, all other terms to the right. Add '-1v' to each side of the equation. 4t + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 4t + 0 = 0 + -1v 4t = 0 + -1v Remove the zero: 4t = -1v Divide each side by '4'. t = -0.25v Simplifying t = -0.25vSolution
t = {1.666666667v, -0.25v}
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