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Simplifying 49v3 + -1v = 0 Reorder the terms: -1v + 49v3 = 0 Solving -1v + 49v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(-1 + 49v2) = 0 Factor a difference between two squares. v((1 + 7v)(-1 + 7v)) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(1 + 7v)' equal to zero and attempt to solve: Simplifying 1 + 7v = 0 Solving 1 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7v = 0 + -1 7v = 0 + -1 Combine like terms: 0 + -1 = -1 7v = -1 Divide each side by '7'. v = -0.1428571429 Simplifying v = -0.1428571429Subproblem 3
Set the factor '(-1 + 7v)' equal to zero and attempt to solve: Simplifying -1 + 7v = 0 Solving -1 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7v = 0 + 1 7v = 0 + 1 Combine like terms: 0 + 1 = 1 7v = 1 Divide each side by '7'. v = 0.1428571429 Simplifying v = 0.1428571429Solution
v = {0, -0.1428571429, 0.1428571429}
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