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Simplifying (5v + -1)(4v + 3) = 0 Reorder the terms: (-1 + 5v)(4v + 3) = 0 Reorder the terms: (-1 + 5v)(3 + 4v) = 0 Multiply (-1 + 5v) * (3 + 4v) (-1(3 + 4v) + 5v * (3 + 4v)) = 0 ((3 * -1 + 4v * -1) + 5v * (3 + 4v)) = 0 ((-3 + -4v) + 5v * (3 + 4v)) = 0 (-3 + -4v + (3 * 5v + 4v * 5v)) = 0 (-3 + -4v + (15v + 20v2)) = 0 Combine like terms: -4v + 15v = 11v (-3 + 11v + 20v2) = 0 Solving -3 + 11v + 20v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + -4v)(1 + -5v) = 0Subproblem 1
Set the factor '(-3 + -4v)' equal to zero and attempt to solve: Simplifying -3 + -4v = 0 Solving -3 + -4v = 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 + -4v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4v = 0 + 3 -4v = 0 + 3 Combine like terms: 0 + 3 = 3 -4v = 3 Divide each side by '-4'. v = -0.75 Simplifying v = -0.75Subproblem 2
Set the factor '(1 + -5v)' equal to zero and attempt to solve: Simplifying 1 + -5v = 0 Solving 1 + -5v = 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 + -5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5v = 0 + -1 -5v = 0 + -1 Combine like terms: 0 + -1 = -1 -5v = -1 Divide each side by '-5'. v = 0.2 Simplifying v = 0.2Solution
v = {-0.75, 0.2}
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