25v^3-9v=0

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Solution for 25v^3-9v=0 equation:


Simplifying
25v3 + -9v = 0

Reorder the terms:
-9v + 25v3 = 0

Solving
-9v + 25v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(-9 + 25v2) = 0

Factor a difference between two squares.
v((3 + 5v)(-3 + 5v)) = 0

Subproblem 1

Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0

Subproblem 2

Set the factor '(3 + 5v)' equal to zero and attempt to solve: Simplifying 3 + 5v = 0 Solving 3 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5v = 0 + -3 5v = 0 + -3 Combine like terms: 0 + -3 = -3 5v = -3 Divide each side by '5'. v = -0.6 Simplifying v = -0.6

Subproblem 3

Set the factor '(-3 + 5v)' equal to zero and attempt to solve: Simplifying -3 + 5v = 0 Solving -3 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5v = 0 + 3 5v = 0 + 3 Combine like terms: 0 + 3 = 3 5v = 3 Divide each side by '5'. v = 0.6 Simplifying v = 0.6

Solution

v = {0, -0.6, 0.6}

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