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Simplifying 81w2 + -180wt + 100t2 = 0 Reorder the terms: -180tw + 100t2 + 81w2 = 0 Solving -180tw + 100t2 + 81w2 = 0 Solving for variable 't'. Factor a trinomial. (10t + -9w)(10t + -9w) = 0Subproblem 1
Set the factor '(10t + -9w)' equal to zero and attempt to solve: Simplifying 10t + -9w = 0 Solving 10t + -9w = 0 Move all terms containing t to the left, all other terms to the right. Add '9w' to each side of the equation. 10t + -9w + 9w = 0 + 9w Combine like terms: -9w + 9w = 0 10t + 0 = 0 + 9w 10t = 0 + 9w Remove the zero: 10t = 9w Divide each side by '10'. t = 0.9w Simplifying t = 0.9wSubproblem 2
Set the factor '(10t + -9w)' equal to zero and attempt to solve: Simplifying 10t + -9w = 0 Solving 10t + -9w = 0 Move all terms containing t to the left, all other terms to the right. Add '9w' to each side of the equation. 10t + -9w + 9w = 0 + 9w Combine like terms: -9w + 9w = 0 10t + 0 = 0 + 9w 10t = 0 + 9w Remove the zero: 10t = 9w Divide each side by '10'. t = 0.9w Simplifying t = 0.9wSolution
t = {0.9w, 0.9w}
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