5d^3-80d=0

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Solution for 5d^3-80d=0 equation:


Simplifying
5d3 + -80d = 0

Reorder the terms:
-80d + 5d3 = 0

Solving
-80d + 5d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '5d'.
5d(-16 + d2) = 0

Factor a difference between two squares.
5d((4 + d)(-4 + d)) = 0

Ignore the factor 5.

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 = 0

Subproblem 2

Set the factor '(4 + d)' equal to zero and attempt to solve: Simplifying 4 + d = 0 Solving 4 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + d = 0 + -4 d = 0 + -4 Combine like terms: 0 + -4 = -4 d = -4 Simplifying d = -4

Subproblem 3

Set the factor '(-4 + d)' equal to zero and attempt to solve: Simplifying -4 + d = 0 Solving -4 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + d = 0 + 4 Combine like terms: -4 + 4 = 0 0 + d = 0 + 4 d = 0 + 4 Combine like terms: 0 + 4 = 4 d = 4 Simplifying d = 4

Solution

d = {0, -4, 4}

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