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Simplifying (5v + -6)(9 + v) = 0 Reorder the terms: (-6 + 5v)(9 + v) = 0 Multiply (-6 + 5v) * (9 + v) (-6(9 + v) + 5v * (9 + v)) = 0 ((9 * -6 + v * -6) + 5v * (9 + v)) = 0 ((-54 + -6v) + 5v * (9 + v)) = 0 (-54 + -6v + (9 * 5v + v * 5v)) = 0 (-54 + -6v + (45v + 5v2)) = 0 Combine like terms: -6v + 45v = 39v (-54 + 39v + 5v2) = 0 Solving -54 + 39v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -1v)(6 + -5v) = 0Subproblem 1
Set the factor '(-9 + -1v)' equal to zero and attempt to solve: Simplifying -9 + -1v = 0 Solving -9 + -1v = 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 + -1v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1v = 0 + 9 -1v = 0 + 9 Combine like terms: 0 + 9 = 9 -1v = 9 Divide each side by '-1'. v = -9 Simplifying v = -9Subproblem 2
Set the factor '(6 + -5v)' equal to zero and attempt to solve: Simplifying 6 + -5v = 0 Solving 6 + -5v = 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 + -5v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5v = 0 + -6 -5v = 0 + -6 Combine like terms: 0 + -6 = -6 -5v = -6 Divide each side by '-5'. v = 1.2 Simplifying v = 1.2Solution
v = {-9, 1.2}
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