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Simplifying 36v2 + 60vt + 25t2 = 0 Reorder the terms: 60tv + 25t2 + 36v2 = 0 Solving 60tv + 25t2 + 36v2 = 0 Solving for variable 't'. Factor a trinomial. (5t + 6v)(5t + 6v) = 0Subproblem 1
Set the factor '(5t + 6v)' equal to zero and attempt to solve: Simplifying 5t + 6v = 0 Solving 5t + 6v = 0 Move all terms containing t to the left, all other terms to the right. Add '-6v' to each side of the equation. 5t + 6v + -6v = 0 + -6v Combine like terms: 6v + -6v = 0 5t + 0 = 0 + -6v 5t = 0 + -6v Remove the zero: 5t = -6v Divide each side by '5'. t = -1.2v Simplifying t = -1.2vSubproblem 2
Set the factor '(5t + 6v)' equal to zero and attempt to solve: Simplifying 5t + 6v = 0 Solving 5t + 6v = 0 Move all terms containing t to the left, all other terms to the right. Add '-6v' to each side of the equation. 5t + 6v + -6v = 0 + -6v Combine like terms: 6v + -6v = 0 5t + 0 = 0 + -6v 5t = 0 + -6v Remove the zero: 5t = -6v Divide each side by '5'. t = -1.2v Simplifying t = -1.2vSolution
t = {-1.2v, -1.2v}
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