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Simplifying 6v(v + 8) + 6v = v Reorder the terms: 6v(8 + v) + 6v = v (8 * 6v + v * 6v) + 6v = v (48v + 6v2) + 6v = v Reorder the terms: 48v + 6v + 6v2 = v Combine like terms: 48v + 6v = 54v 54v + 6v2 = v Solving 54v + 6v2 = v Solving for variable 'v'. Reorder the terms: 54v + -1v + 6v2 = v + -1v Combine like terms: 54v + -1v = 53v 53v + 6v2 = v + -1v Combine like terms: v + -1v = 0 53v + 6v2 = 0 Factor out the Greatest Common Factor (GCF), 'v'. v(53 + 6v) = 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 '(53 + 6v)' equal to zero and attempt to solve: Simplifying 53 + 6v = 0 Solving 53 + 6v = 0 Move all terms containing v to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 6v = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 6v = 0 + -53 6v = 0 + -53 Combine like terms: 0 + -53 = -53 6v = -53 Divide each side by '6'. v = -8.833333333 Simplifying v = -8.833333333Solution
v = {0, -8.833333333}
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