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Simplifying d4 = 4d2 Solving d4 = 4d2 Solving for variable 'd'. Reorder the terms: -4d2 + d4 = 4d2 + -4d2 Combine like terms: 4d2 + -4d2 = 0 -4d2 + d4 = 0 Factor out the Greatest Common Factor (GCF), 'd2'. d2(-4 + d2) = 0 Factor a difference between two squares. d2((2 + d)(-2 + d)) = 0Subproblem 1
Set the factor 'd2' equal to zero and attempt to solve: Simplifying d2 = 0 Solving d2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d2 = 0 Take the square root of each side: d = {0}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 = {0, -2, 2}
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