=(((d*d)+3f)*(d*d))

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Solution for =(((d*d)+3f)*(d*d)) equation:


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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