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Simplifying 4v2 = 9v Solving 4v2 = 9v Solving for variable 'v'. Reorder the terms: -9v + 4v2 = 9v + -9v Combine like terms: 9v + -9v = 0 -9v + 4v2 = 0 Factor out the Greatest Common Factor (GCF), 'v'. v(-9 + 4v) = 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 '(-9 + 4v)' equal to zero and attempt to solve: Simplifying -9 + 4v = 0 Solving -9 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4v = 0 + 9 4v = 0 + 9 Combine like terms: 0 + 9 = 9 4v = 9 Divide each side by '4'. v = 2.25 Simplifying v = 2.25Solution
v = {0, 2.25}
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