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Simplifying 4d2 + 8d + 3 = 3 Reorder the terms: 3 + 8d + 4d2 = 3 Add '-3' to each side of the equation. 3 + 8d + -3 + 4d2 = 3 + -3 Reorder the terms: 3 + -3 + 8d + 4d2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + 8d + 4d2 = 3 + -3 8d + 4d2 = 3 + -3 Combine like terms: 3 + -3 = 0 8d + 4d2 = 0 Solving 8d + 4d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '4d'. 4d(2 + d) = 0 Ignore the factor 4.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 '(2 + d)' equal to zero and attempt to solve: Simplifying 2 + d = 0 Solving 2 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + d = 0 + -2 d = 0 + -2 Combine like terms: 0 + -2 = -2 d = -2 Simplifying d = -2Solution
d = {0, -2}
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