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Simplifying (8 + v)(5v + 6) = 0 Reorder the terms: (8 + v)(6 + 5v) = 0 Multiply (8 + v) * (6 + 5v) (8(6 + 5v) + v(6 + 5v)) = 0 ((6 * 8 + 5v * 8) + v(6 + 5v)) = 0 ((48 + 40v) + v(6 + 5v)) = 0 (48 + 40v + (6 * v + 5v * v)) = 0 (48 + 40v + (6v + 5v2)) = 0 Combine like terms: 40v + 6v = 46v (48 + 46v + 5v2) = 0 Solving 48 + 46v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (8 + v)(6 + 5v) = 0Subproblem 1
Set the factor '(8 + v)' equal to zero and attempt to solve: Simplifying 8 + v = 0 Solving 8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + v = 0 + -8 v = 0 + -8 Combine like terms: 0 + -8 = -8 v = -8 Simplifying v = -8Subproblem 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 = {-8, -1.2}
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