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Simplifying (5v + -9)(6 + v) = 0 Reorder the terms: (-9 + 5v)(6 + v) = 0 Multiply (-9 + 5v) * (6 + v) (-9(6 + v) + 5v * (6 + v)) = 0 ((6 * -9 + v * -9) + 5v * (6 + v)) = 0 ((-54 + -9v) + 5v * (6 + v)) = 0 (-54 + -9v + (6 * 5v + v * 5v)) = 0 (-54 + -9v + (30v + 5v2)) = 0 Combine like terms: -9v + 30v = 21v (-54 + 21v + 5v2) = 0 Solving -54 + 21v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-6 + -1v)(9 + -5v) = 0Subproblem 1
Set the factor '(-6 + -1v)' equal to zero and attempt to solve: Simplifying -6 + -1v = 0 Solving -6 + -1v = 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 + -1v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1v = 0 + 6 -1v = 0 + 6 Combine like terms: 0 + 6 = 6 -1v = 6 Divide each side by '-1'. 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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