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Simplifying 25w2 + -90wd + 81d2 = 0 Reorder the terms: -90dw + 81d2 + 25w2 = 0 Solving -90dw + 81d2 + 25w2 = 0 Solving for variable 'd'. Factor a trinomial. (9d + -5w)(9d + -5w) = 0Subproblem 1
Set the factor '(9d + -5w)' equal to zero and attempt to solve: Simplifying 9d + -5w = 0 Solving 9d + -5w = 0 Move all terms containing d to the left, all other terms to the right. Add '5w' to each side of the equation. 9d + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 9d + 0 = 0 + 5w 9d = 0 + 5w Remove the zero: 9d = 5w Divide each side by '9'. d = 0.5555555556w Simplifying d = 0.5555555556wSubproblem 2
Set the factor '(9d + -5w)' equal to zero and attempt to solve: Simplifying 9d + -5w = 0 Solving 9d + -5w = 0 Move all terms containing d to the left, all other terms to the right. Add '5w' to each side of the equation. 9d + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 9d + 0 = 0 + 5w 9d = 0 + 5w Remove the zero: 9d = 5w Divide each side by '9'. d = 0.5555555556w Simplifying d = 0.5555555556wSolution
d = {0.5555555556w, 0.5555555556w}
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