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Simplifying (5 + -1v)(5v + -1) = 0 Reorder the terms: (5 + -1v)(-1 + 5v) = 0 Multiply (5 + -1v) * (-1 + 5v) (5(-1 + 5v) + -1v * (-1 + 5v)) = 0 ((-1 * 5 + 5v * 5) + -1v * (-1 + 5v)) = 0 ((-5 + 25v) + -1v * (-1 + 5v)) = 0 (-5 + 25v + (-1 * -1v + 5v * -1v)) = 0 (-5 + 25v + (1v + -5v2)) = 0 Combine like terms: 25v + 1v = 26v (-5 + 26v + -5v2) = 0 Solving -5 + 26v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + v)(1 + -5v) = 0Subproblem 1
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 = 5Subproblem 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 = {5, 0.2}
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