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Simplifying w2 + -4wd + 4d2 = 0 Reorder the terms: -4dw + 4d2 + w2 = 0 Solving -4dw + 4d2 + w2 = 0 Solving for variable 'd'. Factor a trinomial. (2d + -1w)(2d + -1w) = 0Subproblem 1
Set the factor '(2d + -1w)' equal to zero and attempt to solve: Simplifying 2d + -1w = 0 Solving 2d + -1w = 0 Move all terms containing d to the left, all other terms to the right. Add 'w' to each side of the equation. 2d + -1w + w = 0 + w Combine like terms: -1w + w = 0 2d + 0 = 0 + w 2d = 0 + w Remove the zero: 2d = w Divide each side by '2'. d = 0.5w Simplifying d = 0.5wSubproblem 2
Set the factor '(2d + -1w)' equal to zero and attempt to solve: Simplifying 2d + -1w = 0 Solving 2d + -1w = 0 Move all terms containing d to the left, all other terms to the right. Add 'w' to each side of the equation. 2d + -1w + w = 0 + w Combine like terms: -1w + w = 0 2d + 0 = 0 + w 2d = 0 + w Remove the zero: 2d = w Divide each side by '2'. d = 0.5w Simplifying d = 0.5wSolution
d = {0.5w, 0.5w}
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