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Simplifying (5v + 11)(v + 10) = 0 Reorder the terms: (11 + 5v)(v + 10) = 0 Reorder the terms: (11 + 5v)(10 + v) = 0 Multiply (11 + 5v) * (10 + v) (11(10 + v) + 5v * (10 + v)) = 0 ((10 * 11 + v * 11) + 5v * (10 + v)) = 0 ((110 + 11v) + 5v * (10 + v)) = 0 (110 + 11v + (10 * 5v + v * 5v)) = 0 (110 + 11v + (50v + 5v2)) = 0 Combine like terms: 11v + 50v = 61v (110 + 61v + 5v2) = 0 Solving 110 + 61v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (10 + v)(11 + 5v) = 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 '(11 + 5v)' equal to zero and attempt to solve: Simplifying 11 + 5v = 0 Solving 11 + 5v = 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 + 5v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5v = 0 + -11 5v = 0 + -11 Combine like terms: 0 + -11 = -11 5v = -11 Divide each side by '5'. v = -2.2 Simplifying v = -2.2Solution
v = {-10, -2.2}
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