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Simplifying (5v + -9)(6 + -1v) = 0 Reorder the terms: (-9 + 5v)(6 + -1v) = 0 Multiply (-9 + 5v) * (6 + -1v) (-9(6 + -1v) + 5v * (6 + -1v)) = 0 ((6 * -9 + -1v * -9) + 5v * (6 + -1v)) = 0 ((-54 + 9v) + 5v * (6 + -1v)) = 0 (-54 + 9v + (6 * 5v + -1v * 5v)) = 0 (-54 + 9v + (30v + -5v2)) = 0 Combine like terms: 9v + 30v = 39v (-54 + 39v + -5v2) = 0 Solving -54 + 39v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-6 + v)(9 + -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 '(9 + -5v)' equal to zero and attempt to solve: Simplifying 9 + -5v = 0 Solving 9 + -5v = 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 + -5v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5v = 0 + -9 -5v = 0 + -9 Combine like terms: 0 + -9 = -9 -5v = -9 Divide each side by '-5'. v = 1.8 Simplifying v = 1.8Solution
v = {6, 1.8}
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