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Simplifying 4w2 + 12wd + 9d2 = 0 Reorder the terms: 12dw + 9d2 + 4w2 = 0 Solving 12dw + 9d2 + 4w2 = 0 Solving for variable 'd'. Factor a trinomial. (3d + 2w)(3d + 2w) = 0Subproblem 1
Set the factor '(3d + 2w)' equal to zero and attempt to solve: Simplifying 3d + 2w = 0 Solving 3d + 2w = 0 Move all terms containing d to the left, all other terms to the right. Add '-2w' to each side of the equation. 3d + 2w + -2w = 0 + -2w Combine like terms: 2w + -2w = 0 3d + 0 = 0 + -2w 3d = 0 + -2w Remove the zero: 3d = -2w Divide each side by '3'. d = -0.6666666667w Simplifying d = -0.6666666667wSubproblem 2
Set the factor '(3d + 2w)' equal to zero and attempt to solve: Simplifying 3d + 2w = 0 Solving 3d + 2w = 0 Move all terms containing d to the left, all other terms to the right. Add '-2w' to each side of the equation. 3d + 2w + -2w = 0 + -2w Combine like terms: 2w + -2w = 0 3d + 0 = 0 + -2w 3d = 0 + -2w Remove the zero: 3d = -2w Divide each side by '3'. d = -0.6666666667w Simplifying d = -0.6666666667wSolution
d = {-0.6666666667w, -0.6666666667w}
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