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Simplifying (4 + -1v)(5v + 1) = 0 Reorder the terms: (4 + -1v)(1 + 5v) = 0 Multiply (4 + -1v) * (1 + 5v) (4(1 + 5v) + -1v * (1 + 5v)) = 0 ((1 * 4 + 5v * 4) + -1v * (1 + 5v)) = 0 ((4 + 20v) + -1v * (1 + 5v)) = 0 (4 + 20v + (1 * -1v + 5v * -1v)) = 0 (4 + 20v + (-1v + -5v2)) = 0 Combine like terms: 20v + -1v = 19v (4 + 19v + -5v2) = 0 Solving 4 + 19v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (4 + -1v)(1 + 5v) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(1 + 5v)' equal to zero and attempt to solve: Simplifying 1 + 5v = 0 Solving 1 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5v = 0 + -1 5v = 0 + -1 Combine like terms: 0 + -1 = -1 5v = -1 Divide each side by '5'. v = -0.2 Simplifying v = -0.2Solution
v = {4, -0.2}
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