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Simplifying w2 + -6wt + -7t2 = 0 Reorder the terms: -6tw + -7t2 + w2 = 0 Solving -6tw + -7t2 + w2 = 0 Solving for variable 't'. Factor a trinomial. (-1t + -1w)(7t + -1w) = 0Subproblem 1
Set the factor '(-1t + -1w)' equal to zero and attempt to solve: Simplifying -1t + -1w = 0 Solving -1t + -1w = 0 Move all terms containing t to the left, all other terms to the right. Add 'w' to each side of the equation. -1t + -1w + w = 0 + w Combine like terms: -1w + w = 0 -1t + 0 = 0 + w -1t = 0 + w Remove the zero: -1t = w Divide each side by '-1'. t = -1w Simplifying t = -1wSubproblem 2
Set the factor '(7t + -1w)' equal to zero and attempt to solve: Simplifying 7t + -1w = 0 Solving 7t + -1w = 0 Move all terms containing t to the left, all other terms to the right. Add 'w' to each side of the equation. 7t + -1w + w = 0 + w Combine like terms: -1w + w = 0 7t + 0 = 0 + w 7t = 0 + w Remove the zero: 7t = w Divide each side by '7'. t = 0.1428571429w Simplifying t = 0.1428571429wSolution
t = {-1w, 0.1428571429w}
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