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Simplifying (5v + -6)(3 + v) = 0 Reorder the terms: (-6 + 5v)(3 + v) = 0 Multiply (-6 + 5v) * (3 + v) (-6(3 + v) + 5v * (3 + v)) = 0 ((3 * -6 + v * -6) + 5v * (3 + v)) = 0 ((-18 + -6v) + 5v * (3 + v)) = 0 (-18 + -6v + (3 * 5v + v * 5v)) = 0 (-18 + -6v + (15v + 5v2)) = 0 Combine like terms: -6v + 15v = 9v (-18 + 9v + 5v2) = 0 Solving -18 + 9v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + -1v)(6 + -5v) = 0Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve: Simplifying -3 + -1v = 0 Solving -3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1v = 0 + 3 -1v = 0 + 3 Combine like terms: 0 + 3 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3Subproblem 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 = {-3, 1.2}
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