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Simplifying (2v + -5)(v + -4) = 0 Reorder the terms: (-5 + 2v)(v + -4) = 0 Reorder the terms: (-5 + 2v)(-4 + v) = 0 Multiply (-5 + 2v) * (-4 + v) (-5(-4 + v) + 2v * (-4 + v)) = 0 ((-4 * -5 + v * -5) + 2v * (-4 + v)) = 0 ((20 + -5v) + 2v * (-4 + v)) = 0 (20 + -5v + (-4 * 2v + v * 2v)) = 0 (20 + -5v + (-8v + 2v2)) = 0 Combine like terms: -5v + -8v = -13v (20 + -13v + 2v2) = 0 Solving 20 + -13v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + -2v)(4 + -1v) = 0Subproblem 1
Set the factor '(5 + -2v)' equal to zero and attempt to solve: Simplifying 5 + -2v = 0 Solving 5 + -2v = 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 + -2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = 0 + -5 -2v = 0 + -5 Combine like terms: 0 + -5 = -5 -2v = -5 Divide each side by '-2'. v = 2.5 Simplifying v = 2.5Subproblem 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 = {2.5, 4}
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