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Simplifying 7d + -1(4d + 3)(-1d) = 0 Reorder the terms: 7d + -1(3 + 4d)(-1d) = 0 Remove parenthesis around (-1d) 7d + -1(3 + 4d) * -1d = 0 Reorder the terms for easier multiplication: 7d + -1 * -1d(3 + 4d) = 0 Multiply -1 * -1 7d + 1d(3 + 4d) = 0 7d + (3 * 1d + 4d * 1d) = 0 7d + (3d + 4d2) = 0 Combine like terms: 7d + 3d = 10d 10d + 4d2 = 0 Solving 10d + 4d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2d'. 2d(5 + 2d) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(5 + 2d)' equal to zero and attempt to solve: Simplifying 5 + 2d = 0 Solving 5 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2d = 0 + -5 2d = 0 + -5 Combine like terms: 0 + -5 = -5 2d = -5 Divide each side by '2'. d = -2.5 Simplifying d = -2.5Solution
d = {0, -2.5}
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