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Simplifying 9v2 + 30vt + 25t2 = 0 Reorder the terms: 30tv + 25t2 + 9v2 = 0 Solving 30tv + 25t2 + 9v2 = 0 Solving for variable 't'. Factor a trinomial. (5t + 3v)(5t + 3v) = 0Subproblem 1
Set the factor '(5t + 3v)' equal to zero and attempt to solve: Simplifying 5t + 3v = 0 Solving 5t + 3v = 0 Move all terms containing t to the left, all other terms to the right. Add '-3v' to each side of the equation. 5t + 3v + -3v = 0 + -3v Combine like terms: 3v + -3v = 0 5t + 0 = 0 + -3v 5t = 0 + -3v Remove the zero: 5t = -3v Divide each side by '5'. t = -0.6v Simplifying t = -0.6vSubproblem 2
Set the factor '(5t + 3v)' equal to zero and attempt to solve: Simplifying 5t + 3v = 0 Solving 5t + 3v = 0 Move all terms containing t to the left, all other terms to the right. Add '-3v' to each side of the equation. 5t + 3v + -3v = 0 + -3v Combine like terms: 3v + -3v = 0 5t + 0 = 0 + -3v 5t = 0 + -3v Remove the zero: 5t = -3v Divide each side by '5'. t = -0.6v Simplifying t = -0.6vSolution
t = {-0.6v, -0.6v}
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