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Simplifying 24v2 + -37tv + -22t2 = 0 Reorder the terms: -37tv + -22t2 + 24v2 = 0 Solving -37tv + -22t2 + 24v2 = 0 Solving for variable 't'. Factor a trinomial. (-11t + -24v)(2t + -1v) = 0Subproblem 1
Set the factor '(-11t + -24v)' equal to zero and attempt to solve: Simplifying -11t + -24v = 0 Solving -11t + -24v = 0 Move all terms containing t to the left, all other terms to the right. Add '24v' to each side of the equation. -11t + -24v + 24v = 0 + 24v Combine like terms: -24v + 24v = 0 -11t + 0 = 0 + 24v -11t = 0 + 24v Remove the zero: -11t = 24v Divide each side by '-11'. t = -2.181818182v Simplifying t = -2.181818182vSubproblem 2
Set the factor '(2t + -1v)' equal to zero and attempt to solve: Simplifying 2t + -1v = 0 Solving 2t + -1v = 0 Move all terms containing t to the left, all other terms to the right. Add 'v' to each side of the equation. 2t + -1v + v = 0 + v Combine like terms: -1v + v = 0 2t + 0 = 0 + v 2t = 0 + v Remove the zero: 2t = v Divide each side by '2'. t = 0.5v Simplifying t = 0.5vSolution
t = {-2.181818182v, 0.5v}
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