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Simplifying 25w2 + 90wt + 81t2 = 0 Reorder the terms: 90tw + 81t2 + 25w2 = 0 Solving 90tw + 81t2 + 25w2 = 0 Solving for variable 't'. Factor a trinomial. (9t + 5w)(9t + 5w) = 0Subproblem 1
Set the factor '(9t + 5w)' equal to zero and attempt to solve: Simplifying 9t + 5w = 0 Solving 9t + 5w = 0 Move all terms containing t to the left, all other terms to the right. Add '-5w' to each side of the equation. 9t + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 9t + 0 = 0 + -5w 9t = 0 + -5w Remove the zero: 9t = -5w Divide each side by '9'. t = -0.5555555556w Simplifying t = -0.5555555556wSubproblem 2
Set the factor '(9t + 5w)' equal to zero and attempt to solve: Simplifying 9t + 5w = 0 Solving 9t + 5w = 0 Move all terms containing t to the left, all other terms to the right. Add '-5w' to each side of the equation. 9t + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 9t + 0 = 0 + -5w 9t = 0 + -5w Remove the zero: 9t = -5w Divide each side by '9'. t = -0.5555555556w Simplifying t = -0.5555555556wSolution
t = {-0.5555555556w, -0.5555555556w}
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