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Simplifying 25w2 + 20wt + 4t2 = 0 Reorder the terms: 20tw + 4t2 + 25w2 = 0 Solving 20tw + 4t2 + 25w2 = 0 Solving for variable 't'. Factor a trinomial. (2t + 5w)(2t + 5w) = 0Subproblem 1
Set the factor '(2t + 5w)' equal to zero and attempt to solve: Simplifying 2t + 5w = 0 Solving 2t + 5w = 0 Move all terms containing t to the left, all other terms to the right. Add '-5w' to each side of the equation. 2t + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 2t + 0 = 0 + -5w 2t = 0 + -5w Remove the zero: 2t = -5w Divide each side by '2'. t = -2.5w Simplifying t = -2.5wSubproblem 2
Set the factor '(2t + 5w)' equal to zero and attempt to solve: Simplifying 2t + 5w = 0 Solving 2t + 5w = 0 Move all terms containing t to the left, all other terms to the right. Add '-5w' to each side of the equation. 2t + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 2t + 0 = 0 + -5w 2t = 0 + -5w Remove the zero: 2t = -5w Divide each side by '2'. t = -2.5w Simplifying t = -2.5wSolution
t = {-2.5w, -2.5w}
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