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Simplifying 4w2 + 20wt + 25t2 = 0 Reorder the terms: 20tw + 25t2 + 4w2 = 0 Solving 20tw + 25t2 + 4w2 = 0 Solving for variable 't'. Factor a trinomial. (5t + 2w)(5t + 2w) = 0Subproblem 1
Set the factor '(5t + 2w)' equal to zero and attempt to solve: Simplifying 5t + 2w = 0 Solving 5t + 2w = 0 Move all terms containing t to the left, all other terms to the right. Add '-2w' to each side of the equation. 5t + 2w + -2w = 0 + -2w Combine like terms: 2w + -2w = 0 5t + 0 = 0 + -2w 5t = 0 + -2w Remove the zero: 5t = -2w Divide each side by '5'. t = -0.4w Simplifying t = -0.4wSubproblem 2
Set the factor '(5t + 2w)' equal to zero and attempt to solve: Simplifying 5t + 2w = 0 Solving 5t + 2w = 0 Move all terms containing t to the left, all other terms to the right. Add '-2w' to each side of the equation. 5t + 2w + -2w = 0 + -2w Combine like terms: 2w + -2w = 0 5t + 0 = 0 + -2w 5t = 0 + -2w Remove the zero: 5t = -2w Divide each side by '5'. t = -0.4w Simplifying t = -0.4wSolution
t = {-0.4w, -0.4w}
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