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Simplifying 4w2 + -12wt + 9t2 = 0 Reorder the terms: -12tw + 9t2 + 4w2 = 0 Solving -12tw + 9t2 + 4w2 = 0 Solving for variable 't'. Factor a trinomial. (3t + -2w)(3t + -2w) = 0Subproblem 1
Set the factor '(3t + -2w)' equal to zero and attempt to solve: Simplifying 3t + -2w = 0 Solving 3t + -2w = 0 Move all terms containing t to the left, all other terms to the right. Add '2w' to each side of the equation. 3t + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 3t + 0 = 0 + 2w 3t = 0 + 2w Remove the zero: 3t = 2w Divide each side by '3'. t = 0.6666666667w Simplifying t = 0.6666666667wSubproblem 2
Set the factor '(3t + -2w)' equal to zero and attempt to solve: Simplifying 3t + -2w = 0 Solving 3t + -2w = 0 Move all terms containing t to the left, all other terms to the right. Add '2w' to each side of the equation. 3t + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 3t + 0 = 0 + 2w 3t = 0 + 2w Remove the zero: 3t = 2w Divide each side by '3'. t = 0.6666666667w Simplifying t = 0.6666666667wSolution
t = {0.6666666667w, 0.6666666667w}
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