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Simplifying (5v + -3)(4 + -1v) = 0 Reorder the terms: (-3 + 5v)(4 + -1v) = 0 Multiply (-3 + 5v) * (4 + -1v) (-3(4 + -1v) + 5v * (4 + -1v)) = 0 ((4 * -3 + -1v * -3) + 5v * (4 + -1v)) = 0 ((-12 + 3v) + 5v * (4 + -1v)) = 0 (-12 + 3v + (4 * 5v + -1v * 5v)) = 0 (-12 + 3v + (20v + -5v2)) = 0 Combine like terms: 3v + 20v = 23v (-12 + 23v + -5v2) = 0 Solving -12 + 23v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + v)(3 + -5v) = 0Subproblem 1
Set the factor '(-4 + v)' equal to zero and attempt to solve: Simplifying -4 + v = 0 Solving -4 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + v = 0 + 4 v = 0 + 4 Combine like terms: 0 + 4 = 4 v = 4 Simplifying v = 4Subproblem 2
Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 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 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6Solution
v = {4, 0.6}
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