49v^3-4v=0

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Solution for 49v^3-4v=0 equation:


Simplifying
49v3 + -4v = 0

Reorder the terms:
-4v + 49v3 = 0

Solving
-4v + 49v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(-4 + 49v2) = 0

Factor a difference between two squares.
v((2 + 7v)(-2 + 7v)) = 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 '(2 + 7v)' equal to zero and attempt to solve: Simplifying 2 + 7v = 0 Solving 2 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7v = 0 + -2 7v = 0 + -2 Combine like terms: 0 + -2 = -2 7v = -2 Divide each side by '7'. v = -0.2857142857 Simplifying v = -0.2857142857

Subproblem 3

Set the factor '(-2 + 7v)' equal to zero and attempt to solve: Simplifying -2 + 7v = 0 Solving -2 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7v = 0 + 2 7v = 0 + 2 Combine like terms: 0 + 2 = 2 7v = 2 Divide each side by '7'. v = 0.2857142857 Simplifying v = 0.2857142857

Solution

v = {0, -0.2857142857, 0.2857142857}

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