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Simplifying 2v2 + 9tv + 4t2 = 0 Reorder the terms: 9tv + 4t2 + 2v2 = 0 Solving 9tv + 4t2 + 2v2 = 0 Solving for variable 't'. Factor a trinomial. (4t + v)(t + 2v) = 0Subproblem 1
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 = -0.25vSubproblem 2
Set the factor '(t + 2v)' equal to zero and attempt to solve: Simplifying t + 2v = 0 Solving t + 2v = 0 Move all terms containing t to the left, all other terms to the right. Add '-2v' to each side of the equation. t + 2v + -2v = 0 + -2v Combine like terms: 2v + -2v = 0 t + 0 = 0 + -2v t = 0 + -2v Remove the zero: t = -2v Simplifying t = -2vSolution
t = {-0.25v, -2v}
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