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Simplifying 9w2 + 12wd + 4d2 = 0 Reorder the terms: 12dw + 4d2 + 9w2 = 0 Solving 12dw + 4d2 + 9w2 = 0 Solving for variable 'd'. Factor a trinomial. (2d + 3w)(2d + 3w) = 0Subproblem 1
Set the factor '(2d + 3w)' equal to zero and attempt to solve: Simplifying 2d + 3w = 0 Solving 2d + 3w = 0 Move all terms containing d to the left, all other terms to the right. Add '-3w' to each side of the equation. 2d + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 2d + 0 = 0 + -3w 2d = 0 + -3w Remove the zero: 2d = -3w Divide each side by '2'. d = -1.5w Simplifying d = -1.5wSubproblem 2
Set the factor '(2d + 3w)' equal to zero and attempt to solve: Simplifying 2d + 3w = 0 Solving 2d + 3w = 0 Move all terms containing d to the left, all other terms to the right. Add '-3w' to each side of the equation. 2d + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 2d + 0 = 0 + -3w 2d = 0 + -3w Remove the zero: 2d = -3w Divide each side by '2'. d = -1.5w Simplifying d = -1.5wSolution
d = {-1.5w, -1.5w}
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