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Simplifying v2 + -1v + 7 = 7 Reorder the terms: 7 + -1v + v2 = 7 Add '-7' to each side of the equation. 7 + -1v + -7 + v2 = 7 + -7 Reorder the terms: 7 + -7 + -1v + v2 = 7 + -7 Combine like terms: 7 + -7 = 0 0 + -1v + v2 = 7 + -7 -1v + v2 = 7 + -7 Combine like terms: 7 + -7 = 0 -1v + v2 = 0 Solving -1v + v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(-1 + v) = 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 '(-1 + v)' equal to zero and attempt to solve: Simplifying -1 + v = 0 Solving -1 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + v = 0 + 1 v = 0 + 1 Combine like terms: 0 + 1 = 1 v = 1 Simplifying v = 1Solution
v = {0, 1}
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