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Simplifying (v + -4)(v + 5) = 0 Reorder the terms: (-4 + v)(v + 5) = 0 Reorder the terms: (-4 + v)(5 + v) = 0 Multiply (-4 + v) * (5 + v) (-4(5 + v) + v(5 + v)) = 0 ((5 * -4 + v * -4) + v(5 + v)) = 0 ((-20 + -4v) + v(5 + v)) = 0 (-20 + -4v + (5 * v + v * v)) = 0 (-20 + -4v + (5v + v2)) = 0 Combine like terms: -4v + 5v = 1v (-20 + 1v + v2) = 0 Solving -20 + 1v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -1v)(4 + -1v) = 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 '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-5, 4}
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