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Simplifying (v + 11)(v + -9) = 0 Reorder the terms: (11 + v)(v + -9) = 0 Reorder the terms: (11 + v)(-9 + v) = 0 Multiply (11 + v) * (-9 + v) (11(-9 + v) + v(-9 + v)) = 0 ((-9 * 11 + v * 11) + v(-9 + v)) = 0 ((-99 + 11v) + v(-9 + v)) = 0 (-99 + 11v + (-9 * v + v * v)) = 0 (-99 + 11v + (-9v + v2)) = 0 Combine like terms: 11v + -9v = 2v (-99 + 2v + v2) = 0 Solving -99 + 2v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-11 + -1v)(9 + -1v) = 0Subproblem 1
Set the factor '(-11 + -1v)' equal to zero and attempt to solve: Simplifying -11 + -1v = 0 Solving -11 + -1v = 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 + -1v = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1v = 0 + 11 -1v = 0 + 11 Combine like terms: 0 + 11 = 11 -1v = 11 Divide each side by '-1'. v = -11 Simplifying v = -11Subproblem 2
Set the factor '(9 + -1v)' equal to zero and attempt to solve: Simplifying 9 + -1v = 0 Solving 9 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1v = 0 + -9 -1v = 0 + -9 Combine like terms: 0 + -9 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9Solution
v = {-11, 9}
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