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Simplifying 49v3 + -25v = 0 Reorder the terms: -25v + 49v3 = 0 Solving -25v + 49v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(-25 + 49v2) = 0 Factor a difference between two squares. v((5 + 7v)(-5 + 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 '(5 + 7v)' equal to zero and attempt to solve: Simplifying 5 + 7v = 0 Solving 5 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7v = 0 + -5 7v = 0 + -5 Combine like terms: 0 + -5 = -5 7v = -5 Divide each side by '7'. v = -0.7142857143 Simplifying v = -0.7142857143Subproblem 3
Set the factor '(-5 + 7v)' equal to zero and attempt to solve: Simplifying -5 + 7v = 0 Solving -5 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7v = 0 + 5 7v = 0 + 5 Combine like terms: 0 + 5 = 5 7v = 5 Divide each side by '7'. v = 0.7142857143 Simplifying v = 0.7142857143Solution
v = {0, -0.7142857143, 0.7142857143}
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