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Simplifying -1v2 = 100 + -20v Solving -1v2 = 100 + -20v Solving for variable 'v'. Reorder the terms: -100 + 20v + -1v2 = 100 + -20v + -100 + 20v Reorder the terms: -100 + 20v + -1v2 = 100 + -100 + -20v + 20v Combine like terms: 100 + -100 = 0 -100 + 20v + -1v2 = 0 + -20v + 20v -100 + 20v + -1v2 = -20v + 20v Combine like terms: -20v + 20v = 0 -100 + 20v + -1v2 = 0 Factor a trinomial. (-10 + v)(10 + -1v) = 0Subproblem 1
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 = 10Subproblem 2
Set the factor '(10 + -1v)' equal to zero and attempt to solve: Simplifying 10 + -1v = 0 Solving 10 + -1v = 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 + -1v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1v = 0 + -10 -1v = 0 + -10 Combine like terms: 0 + -10 = -10 -1v = -10 Divide each side by '-1'. v = 10 Simplifying v = 10Solution
v = {10, 10}
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