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Simplifying (v + 6)(v + -5) = 0 Reorder the terms: (6 + v)(v + -5) = 0 Reorder the terms: (6 + v)(-5 + v) = 0 Multiply (6 + v) * (-5 + v) (6(-5 + v) + v(-5 + v)) = 0 ((-5 * 6 + v * 6) + v(-5 + v)) = 0 ((-30 + 6v) + v(-5 + v)) = 0 (-30 + 6v + (-5 * v + v * v)) = 0 (-30 + 6v + (-5v + v2)) = 0 Combine like terms: 6v + -5v = 1v (-30 + 1v + v2) = 0 Solving -30 + 1v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-6 + -1v)(5 + -1v) = 0Subproblem 1
Set the factor '(-6 + -1v)' equal to zero and attempt to solve: Simplifying -6 + -1v = 0 Solving -6 + -1v = 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 + -1v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1v = 0 + 6 -1v = 0 + 6 Combine like terms: 0 + 6 = 6 -1v = 6 Divide each side by '-1'. v = -6 Simplifying v = -6Subproblem 2
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 = 5Solution
v = {-6, 5}
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