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Simplifying 6v(9v + 6) + v(9v + 2) = 0 Reorder the terms: 6v(6 + 9v) + v(9v + 2) = 0 (6 * 6v + 9v * 6v) + v(9v + 2) = 0 (36v + 54v2) + v(9v + 2) = 0 Reorder the terms: 36v + 54v2 + v(2 + 9v) = 0 36v + 54v2 + (2 * v + 9v * v) = 0 36v + 54v2 + (2v + 9v2) = 0 Reorder the terms: 36v + 2v + 54v2 + 9v2 = 0 Combine like terms: 36v + 2v = 38v 38v + 54v2 + 9v2 = 0 Combine like terms: 54v2 + 9v2 = 63v2 38v + 63v2 = 0 Solving 38v + 63v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(38 + 63v) = 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 '(38 + 63v)' equal to zero and attempt to solve: Simplifying 38 + 63v = 0 Solving 38 + 63v = 0 Move all terms containing v to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 63v = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 63v = 0 + -38 63v = 0 + -38 Combine like terms: 0 + -38 = -38 63v = -38 Divide each side by '63'. v = -0.6031746032 Simplifying v = -0.6031746032Solution
v = {0, -0.6031746032}
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