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Simplifying 25v2 + 90vt + 81t2 = 0 Reorder the terms: 90tv + 81t2 + 25v2 = 0 Solving 90tv + 81t2 + 25v2 = 0 Solving for variable 't'. Factor a trinomial. (9t + 5v)(9t + 5v) = 0Subproblem 1
Set the factor '(9t + 5v)' equal to zero and attempt to solve: Simplifying 9t + 5v = 0 Solving 9t + 5v = 0 Move all terms containing t to the left, all other terms to the right. Add '-5v' to each side of the equation. 9t + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 9t + 0 = 0 + -5v 9t = 0 + -5v Remove the zero: 9t = -5v Divide each side by '9'. t = -0.5555555556v Simplifying t = -0.5555555556vSubproblem 2
Set the factor '(9t + 5v)' equal to zero and attempt to solve: Simplifying 9t + 5v = 0 Solving 9t + 5v = 0 Move all terms containing t to the left, all other terms to the right. Add '-5v' to each side of the equation. 9t + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 9t + 0 = 0 + -5v 9t = 0 + -5v Remove the zero: 9t = -5v Divide each side by '9'. t = -0.5555555556v Simplifying t = -0.5555555556vSolution
t = {-0.5555555556v, -0.5555555556v}
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