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Simplifying (5v + -4)(6 + -1v) = 0 Reorder the terms: (-4 + 5v)(6 + -1v) = 0 Multiply (-4 + 5v) * (6 + -1v) (-4(6 + -1v) + 5v * (6 + -1v)) = 0 ((6 * -4 + -1v * -4) + 5v * (6 + -1v)) = 0 ((-24 + 4v) + 5v * (6 + -1v)) = 0 (-24 + 4v + (6 * 5v + -1v * 5v)) = 0 (-24 + 4v + (30v + -5v2)) = 0 Combine like terms: 4v + 30v = 34v (-24 + 34v + -5v2) = 0 Solving -24 + 34v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-6 + v)(4 + -5v) = 0Subproblem 1
Set the factor '(-6 + v)' equal to zero and attempt to solve: Simplifying -6 + v = 0 Solving -6 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + v = 0 + 6 v = 0 + 6 Combine like terms: 0 + 6 = 6 v = 6 Simplifying v = 6Subproblem 2
Set the factor '(4 + -5v)' equal to zero and attempt to solve: Simplifying 4 + -5v = 0 Solving 4 + -5v = 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 + -5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 0 + -4 -5v = 0 + -4 Combine like terms: 0 + -4 = -4 -5v = -4 Divide each side by '-5'. v = 0.8 Simplifying v = 0.8Solution
v = {6, 0.8}
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