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Simplifying (2v + -5)(v + 2) = 0 Reorder the terms: (-5 + 2v)(v + 2) = 0 Reorder the terms: (-5 + 2v)(2 + v) = 0 Multiply (-5 + 2v) * (2 + v) (-5(2 + v) + 2v * (2 + v)) = 0 ((2 * -5 + v * -5) + 2v * (2 + v)) = 0 ((-10 + -5v) + 2v * (2 + v)) = 0 (-10 + -5v + (2 * 2v + v * 2v)) = 0 (-10 + -5v + (4v + 2v2)) = 0 Combine like terms: -5v + 4v = -1v (-10 + -1v + 2v2) = 0 Solving -10 + -1v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-2 + -1v)(5 + -2v) = 0Subproblem 1
Set the factor '(-2 + -1v)' equal to zero and attempt to solve: Simplifying -2 + -1v = 0 Solving -2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1v = 0 + 2 -1v = 0 + 2 Combine like terms: 0 + 2 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2Subproblem 2
Set the factor '(5 + -2v)' equal to zero and attempt to solve: Simplifying 5 + -2v = 0 Solving 5 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = 0 + -5 -2v = 0 + -5 Combine like terms: 0 + -5 = -5 -2v = -5 Divide each side by '-2'. v = 2.5 Simplifying v = 2.5Solution
v = {-2, 2.5}
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