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Simplifying (d2 + 4d + 4) * dy = 0 Reorder the terms: (4 + 4d + d2) * dy = 0 Reorder the terms for easier multiplication: dy(4 + 4d + d2) = 0 (4 * dy + 4d * dy + d2 * dy) = 0 (4dy + 4d2y + d3y) = 0 Solving 4dy + 4d2y + d3y = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'dy'. dy(4 + 4d + d2) = 0 Factor a trinomial. dy((2 + d)(2 + d)) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(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 = -2Subproblem 3
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 = {-2, -2}
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