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Simplifying 12d2 + -13dw + -35w2 = 0 Reorder the terms: -13dw + 12d2 + -35w2 = 0 Solving -13dw + 12d2 + -35w2 = 0 Solving for variable 'd'. Factor a trinomial. (3d + -7w)(4d + 5w) = 0Subproblem 1
Set the factor '(3d + -7w)' equal to zero and attempt to solve: Simplifying 3d + -7w = 0 Solving 3d + -7w = 0 Move all terms containing d to the left, all other terms to the right. Add '7w' to each side of the equation. 3d + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 3d + 0 = 0 + 7w 3d = 0 + 7w Remove the zero: 3d = 7w Divide each side by '3'. d = 2.333333333w Simplifying d = 2.333333333wSubproblem 2
Set the factor '(4d + 5w)' equal to zero and attempt to solve: Simplifying 4d + 5w = 0 Solving 4d + 5w = 0 Move all terms containing d to the left, all other terms to the right. Add '-5w' to each side of the equation. 4d + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 4d + 0 = 0 + -5w 4d = 0 + -5w Remove the zero: 4d = -5w Divide each side by '4'. d = -1.25w Simplifying d = -1.25wSolution
d = {2.333333333w, -1.25w}
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