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Simplifying (5v + 6)(5 + -1v) = 0 Reorder the terms: (6 + 5v)(5 + -1v) = 0 Multiply (6 + 5v) * (5 + -1v) (6(5 + -1v) + 5v * (5 + -1v)) = 0 ((5 * 6 + -1v * 6) + 5v * (5 + -1v)) = 0 ((30 + -6v) + 5v * (5 + -1v)) = 0 (30 + -6v + (5 * 5v + -1v * 5v)) = 0 (30 + -6v + (25v + -5v2)) = 0 Combine like terms: -6v + 25v = 19v (30 + 19v + -5v2) = 0 Solving 30 + 19v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + -1v)(6 + 5v) = 0Subproblem 1
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Subproblem 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 = {5, -1.2}
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