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Simplifying (v + 5)(-4v + 5) = 0 Reorder the terms: (5 + v)(-4v + 5) = 0 Reorder the terms: (5 + v)(5 + -4v) = 0 Multiply (5 + v) * (5 + -4v) (5(5 + -4v) + v(5 + -4v)) = 0 ((5 * 5 + -4v * 5) + v(5 + -4v)) = 0 ((25 + -20v) + v(5 + -4v)) = 0 (25 + -20v + (5 * v + -4v * v)) = 0 (25 + -20v + (5v + -4v2)) = 0 Combine like terms: -20v + 5v = -15v (25 + -15v + -4v2) = 0 Solving 25 + -15v + -4v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + -4v)(5 + v) = 0Subproblem 1
Set the factor '(5 + -4v)' equal to zero and attempt to solve: Simplifying 5 + -4v = 0 Solving 5 + -4v = 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 + -4v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = 0 + -5 -4v = 0 + -5 Combine like terms: 0 + -5 = -5 -4v = -5 Divide each side by '-4'. v = 1.25 Simplifying v = 1.25Subproblem 2
Set the factor '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 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 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5Solution
v = {1.25, -5}
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