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Simplifying 4v2 = 7v Solving 4v2 = 7v Solving for variable 'v'. Reorder the terms: -7v + 4v2 = 7v + -7v Combine like terms: 7v + -7v = 0 -7v + 4v2 = 0 Factor out the Greatest Common Factor (GCF), 'v'. v(-7 + 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 '(-7 + 4v)' equal to zero and attempt to solve: Simplifying -7 + 4v = 0 Solving -7 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4v = 0 + 7 4v = 0 + 7 Combine like terms: 0 + 7 = 7 4v = 7 Divide each side by '4'. v = 1.75 Simplifying v = 1.75Solution
v = {0, 1.75}
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