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Simplifying 25v2 + -120v = 130v Reorder the terms: -120v + 25v2 = 130v Solving -120v + 25v2 = 130v Solving for variable 'v'. Reorder the terms: -120v + -130v + 25v2 = 130v + -130v Combine like terms: -120v + -130v = -250v -250v + 25v2 = 130v + -130v Combine like terms: 130v + -130v = 0 -250v + 25v2 = 0 Factor out the Greatest Common Factor (GCF), '25v'. 25v(-10 + v) = 0 Ignore the factor 25.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 '(-10 + v)' equal to zero and attempt to solve: Simplifying -10 + v = 0 Solving -10 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + v = 0 + 10 Combine like terms: -10 + 10 = 0 0 + v = 0 + 10 v = 0 + 10 Combine like terms: 0 + 10 = 10 v = 10 Simplifying v = 10Solution
v = {0, 10}
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