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Simplifying (2v + 1)(v + -3) = 0 Reorder the terms: (1 + 2v)(v + -3) = 0 Reorder the terms: (1 + 2v)(-3 + v) = 0 Multiply (1 + 2v) * (-3 + v) (1(-3 + v) + 2v * (-3 + v)) = 0 ((-3 * 1 + v * 1) + 2v * (-3 + v)) = 0 ((-3 + 1v) + 2v * (-3 + v)) = 0 (-3 + 1v + (-3 * 2v + v * 2v)) = 0 (-3 + 1v + (-6v + 2v2)) = 0 Combine like terms: 1v + -6v = -5v (-3 + -5v + 2v2) = 0 Solving -3 + -5v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -2v)(3 + -1v) = 0Subproblem 1
Set the factor '(-1 + -2v)' equal to zero and attempt to solve: Simplifying -1 + -2v = 0 Solving -1 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2v = 0 + 1 -2v = 0 + 1 Combine like terms: 0 + 1 = 1 -2v = 1 Divide each side by '-2'. v = -0.5 Simplifying v = -0.5Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {-0.5, 3}
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