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Simplifying v2 + -40v + 400 = 0 Reorder the terms: 400 + -40v + v2 = 0 Solving 400 + -40v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (20 + -1v)(20 + -1v) = 0Subproblem 1
Set the factor '(20 + -1v)' equal to zero and attempt to solve: Simplifying 20 + -1v = 0 Solving 20 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1v = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1v = 0 + -20 -1v = 0 + -20 Combine like terms: 0 + -20 = -20 -1v = -20 Divide each side by '-1'. v = 20 Simplifying v = 20Subproblem 2
Set the factor '(20 + -1v)' equal to zero and attempt to solve: Simplifying 20 + -1v = 0 Solving 20 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1v = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1v = 0 + -20 -1v = 0 + -20 Combine like terms: 0 + -20 = -20 -1v = -20 Divide each side by '-1'. v = 20 Simplifying v = 20Solution
v = {20, 20}
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