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Simplifying (9 + -1v)(5v + 6) = 0 Reorder the terms: (9 + -1v)(6 + 5v) = 0 Multiply (9 + -1v) * (6 + 5v) (9(6 + 5v) + -1v * (6 + 5v)) = 0 ((6 * 9 + 5v * 9) + -1v * (6 + 5v)) = 0 ((54 + 45v) + -1v * (6 + 5v)) = 0 (54 + 45v + (6 * -1v + 5v * -1v)) = 0 (54 + 45v + (-6v + -5v2)) = 0 Combine like terms: 45v + -6v = 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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