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Simplifying 4v(7v + 3) = 0 Reorder the terms: 4v(3 + 7v) = 0 (3 * 4v + 7v * 4v) = 0 (12v + 28v2) = 0 Solving 12v + 28v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4v'. 4v(3 + 7v) = 0 Ignore the factor 4.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 = 0Subproblem 2
Set the factor '(3 + 7v)' equal to zero and attempt to solve: Simplifying 3 + 7v = 0 Solving 3 + 7v = 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 + 7v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7v = 0 + -3 7v = 0 + -3 Combine like terms: 0 + -3 = -3 7v = -3 Divide each side by '7'. v = -0.4285714286 Simplifying v = -0.4285714286Solution
v = {0, -0.4285714286}
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