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Simplifying (2v + -9)(5 + v) = 0 Reorder the terms: (-9 + 2v)(5 + v) = 0 Multiply (-9 + 2v) * (5 + v) (-9(5 + v) + 2v * (5 + v)) = 0 ((5 * -9 + v * -9) + 2v * (5 + v)) = 0 ((-45 + -9v) + 2v * (5 + v)) = 0 (-45 + -9v + (5 * 2v + v * 2v)) = 0 (-45 + -9v + (10v + 2v2)) = 0 Combine like terms: -9v + 10v = 1v (-45 + 1v + 2v2) = 0 Solving -45 + 1v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -1v)(9 + -2v) = 0Subproblem 1
Set the factor '(-5 + -1v)' equal to zero and attempt to solve: Simplifying -5 + -1v = 0 Solving -5 + -1v = 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 + -1v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1v = 0 + 5 -1v = 0 + 5 Combine like terms: 0 + 5 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5Subproblem 2
Set the factor '(9 + -2v)' equal to zero and attempt to solve: Simplifying 9 + -2v = 0 Solving 9 + -2v = 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 + -2v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2v = 0 + -9 -2v = 0 + -9 Combine like terms: 0 + -9 = -9 -2v = -9 Divide each side by '-2'. v = 4.5 Simplifying v = 4.5Solution
v = {-5, 4.5}
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