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Simplifying 0 = (((d * d) + 3f)(d * d)) Multiply d * d 0 = (((d2) + 3f)(d * d)) 0 = ((d2 + 3f)(d * d)) Multiply d * d 0 = ((d2 + 3f)(d2)) Reorder the terms for easier multiplication: 0 = (d2(d2 + 3f)) 0 = ((d2 * d2 + 3f * d2)) Reorder the terms: 0 = ((3d2f + d4)) 0 = ((3d2f + d4)) 0 = (3d2f + d4) Remove parenthesis around (3d2f + d4) 0 = 3d2f + d4 Solving 0 = 3d2f + d4 Solving for variable 'd'. Remove the zero: -3d2f + -1d4 = 3d2f + d4 + -3d2f + -1d4 Reorder the terms: -3d2f + -1d4 = 3d2f + -3d2f + d4 + -1d4 Combine like terms: 3d2f + -3d2f = 0 -3d2f + -1d4 = 0 + d4 + -1d4 -3d2f + -1d4 = d4 + -1d4 Combine like terms: d4 + -1d4 = 0 -3d2f + -1d4 = 0 Factor out the Greatest Common Factor (GCF), '-1d2'. -1d2(3f + d2) = 0 Ignore the factor -1.Subproblem 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 '(3f + d2)' equal to zero and attempt to solve: Simplifying 3f + d2 = 0 Reorder the terms: d2 + 3f = 0 Solving d2 + 3f = 0 Move all terms containing d to the left, all other terms to the right. Add '-3f' to each side of the equation. d2 + 3f + -3f = 0 + -3f Combine like terms: 3f + -3f = 0 d2 + 0 = 0 + -3f d2 = 0 + -3f Remove the zero: d2 = -3f Simplifying d2 = -3f The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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