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Simplifying 16w2 + 40wt + 25t2 = 0 Reorder the terms: 40tw + 25t2 + 16w2 = 0 Solving 40tw + 25t2 + 16w2 = 0 Solving for variable 't'. Factor a trinomial. (5t + 4w)(5t + 4w) = 0Subproblem 1
Set the factor '(5t + 4w)' equal to zero and attempt to solve: Simplifying 5t + 4w = 0 Solving 5t + 4w = 0 Move all terms containing t to the left, all other terms to the right. Add '-4w' to each side of the equation. 5t + 4w + -4w = 0 + -4w Combine like terms: 4w + -4w = 0 5t + 0 = 0 + -4w 5t = 0 + -4w Remove the zero: 5t = -4w Divide each side by '5'. t = -0.8w Simplifying t = -0.8wSubproblem 2
Set the factor '(5t + 4w)' equal to zero and attempt to solve: Simplifying 5t + 4w = 0 Solving 5t + 4w = 0 Move all terms containing t to the left, all other terms to the right. Add '-4w' to each side of the equation. 5t + 4w + -4w = 0 + -4w Combine like terms: 4w + -4w = 0 5t + 0 = 0 + -4w 5t = 0 + -4w Remove the zero: 5t = -4w Divide each side by '5'. t = -0.8w Simplifying t = -0.8wSolution
t = {-0.8w, -0.8w}
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