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Simplifying -8v(1 + -6v) = 3v (1 * -8v + -6v * -8v) = 3v (-8v + 48v2) = 3v Solving -8v + 48v2 = 3v Solving for variable 'v'. Reorder the terms: -8v + -3v + 48v2 = 3v + -3v Combine like terms: -8v + -3v = -11v -11v + 48v2 = 3v + -3v Combine like terms: 3v + -3v = 0 -11v + 48v2 = 0 Factor out the Greatest Common Factor (GCF), 'v'. v(-11 + 48v) = 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 '(-11 + 48v)' equal to zero and attempt to solve: Simplifying -11 + 48v = 0 Solving -11 + 48v = 0 Move all terms containing v to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 48v = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 48v = 0 + 11 48v = 0 + 11 Combine like terms: 0 + 11 = 11 48v = 11 Divide each side by '48'. v = 0.2291666667 Simplifying v = 0.2291666667Solution
v = {0, 0.2291666667}
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