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Simplifying 7dw(5dw2 + w + 3) = 0 Reorder the terms: 7dw(3 + 5dw2 + w) = 0 (3 * 7dw + 5dw2 * 7dw + w * 7dw) = 0 Reorder the terms: (21dw + 7dw2 + 35d2w3) = 0 (21dw + 7dw2 + 35d2w3) = 0 Solving 21dw + 7dw2 + 35d2w3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '7dw'. 7dw(3 + w + 5dw2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'dw' equal to zero and attempt to solve: Simplifying dw = 0 Solving dw = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dw = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + w + 5dw2)' equal to zero and attempt to solve: Simplifying 3 + w + 5dw2 = 0 Reorder the terms: 3 + 5dw2 + w = 0 Solving 3 + 5dw2 + w = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 5dw2 + -3 + w = 0 + -3 Reorder the terms: 3 + -3 + 5dw2 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5dw2 + w = 0 + -3 5dw2 + w = 0 + -3 Combine like terms: 0 + -3 = -3 5dw2 + w = -3 Add '-1w' to each side of the equation. 5dw2 + w + -1w = -3 + -1w Combine like terms: w + -1w = 0 5dw2 + 0 = -3 + -1w 5dw2 = -3 + -1w Divide each side by '5w2'. d = -0.6w-2 + -0.2w-1 Simplifying d = -0.6w-2 + -0.2w-1Solution
d = {-0.6w-2 + -0.2w-1}
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