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Simplifying t2 + 4tv + 4v2 = 0 Reorder the terms: 4tv + t2 + 4v2 = 0 Solving 4tv + t2 + 4v2 = 0 Solving for variable 't'. Factor a trinomial. (t + 2v)(t + 2v) = 0Subproblem 1
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 = -2vSubproblem 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 = {-2v, -2v}
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