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Simplifying 81v2 + 180v + 100 = 100 Reorder the terms: 100 + 180v + 81v2 = 100 Add '-100' to each side of the equation. 100 + 180v + -100 + 81v2 = 100 + -100 Reorder the terms: 100 + -100 + 180v + 81v2 = 100 + -100 Combine like terms: 100 + -100 = 0 0 + 180v + 81v2 = 100 + -100 180v + 81v2 = 100 + -100 Combine like terms: 100 + -100 = 0 180v + 81v2 = 0 Solving 180v + 81v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '9v'. 9v(20 + 9v) = 0 Ignore the factor 9.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 '(20 + 9v)' equal to zero and attempt to solve: Simplifying 20 + 9v = 0 Solving 20 + 9v = 0 Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 9v = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 9v = 0 + -20 9v = 0 + -20 Combine like terms: 0 + -20 = -20 9v = -20 Divide each side by '9'. v = -2.222222222 Simplifying v = -2.222222222Solution
v = {0, -2.222222222}
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