5t^3-405t=0

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Solution for 5t^3-405t=0 equation:


Simplifying
5t3 + -405t = 0

Reorder the terms:
-405t + 5t3 = 0

Solving
-405t + 5t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5t'.
5t(-81 + t2) = 0

Factor a difference between two squares.
5t((9 + t)(-9 + t)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

Set the factor '(9 + t)' equal to zero and attempt to solve: Simplifying 9 + t = 0 Solving 9 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + t = 0 + -9 t = 0 + -9 Combine like terms: 0 + -9 = -9 t = -9 Simplifying t = -9

Subproblem 3

Set the factor '(-9 + t)' equal to zero and attempt to solve: Simplifying -9 + t = 0 Solving -9 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + t = 0 + 9 t = 0 + 9 Combine like terms: 0 + 9 = 9 t = 9 Simplifying t = 9

Solution

t = {0, -9, 9}

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