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Simplifying 25v2 + -20v + 4 = 4 Reorder the terms: 4 + -20v + 25v2 = 4 Add '-4' to each side of the equation. 4 + -20v + -4 + 25v2 = 4 + -4 Reorder the terms: 4 + -4 + -20v + 25v2 = 4 + -4 Combine like terms: 4 + -4 = 0 0 + -20v + 25v2 = 4 + -4 -20v + 25v2 = 4 + -4 Combine like terms: 4 + -4 = 0 -20v + 25v2 = 0 Solving -20v + 25v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5v'. 5v(-4 + 5v) = 0 Ignore the factor 5.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 '(-4 + 5v)' equal to zero and attempt to solve: Simplifying -4 + 5v = 0 Solving -4 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5v = 0 + 4 5v = 0 + 4 Combine like terms: 0 + 4 = 4 5v = 4 Divide each side by '5'. v = 0.8 Simplifying v = 0.8Solution
v = {0, 0.8}
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