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Simplifying 10t2 + -23tv + -5v2 = 0 Reorder the terms: -23tv + 10t2 + -5v2 = 0 Solving -23tv + 10t2 + -5v2 = 0 Solving for variable 't'. Factor a trinomial. (2t + -5v)(5t + v) = 0Subproblem 1
Set the factor '(2t + -5v)' equal to zero and attempt to solve: Simplifying 2t + -5v = 0 Solving 2t + -5v = 0 Move all terms containing t to the left, all other terms to the right. Add '5v' to each side of the equation. 2t + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 2t + 0 = 0 + 5v 2t = 0 + 5v Remove the zero: 2t = 5v Divide each side by '2'. t = 2.5v Simplifying t = 2.5vSubproblem 2
Set the factor '(5t + v)' equal to zero and attempt to solve: Simplifying 5t + v = 0 Solving 5t + v = 0 Move all terms containing t to the left, all other terms to the right. Add '-1v' to each side of the equation. 5t + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 5t + 0 = 0 + -1v 5t = 0 + -1v Remove the zero: 5t = -1v Divide each side by '5'. t = -0.2v Simplifying t = -0.2vSolution
t = {2.5v, -0.2v}
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