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Simplifying 100v2 + -220v + 121 = 0 Reorder the terms: 121 + -220v + 100v2 = 0 Solving 121 + -220v + 100v2 = 0 Solving for variable 'v'. Factor a trinomial. (11 + -10v)(11 + -10v) = 0Subproblem 1
Set the factor '(11 + -10v)' equal to zero and attempt to solve: Simplifying 11 + -10v = 0 Solving 11 + -10v = 0 Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -10v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -10v = 0 + -11 -10v = 0 + -11 Combine like terms: 0 + -11 = -11 -10v = -11 Divide each side by '-10'. v = 1.1 Simplifying v = 1.1Subproblem 2
Set the factor '(11 + -10v)' equal to zero and attempt to solve: Simplifying 11 + -10v = 0 Solving 11 + -10v = 0 Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -10v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -10v = 0 + -11 -10v = 0 + -11 Combine like terms: 0 + -11 = -11 -10v = -11 Divide each side by '-10'. v = 1.1 Simplifying v = 1.1Solution
v = {1.1, 1.1}
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