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Simplifying (v + -1)(8v + 5) = 0 Reorder the terms: (-1 + v)(8v + 5) = 0 Reorder the terms: (-1 + v)(5 + 8v) = 0 Multiply (-1 + v) * (5 + 8v) (-1(5 + 8v) + v(5 + 8v)) = 0 ((5 * -1 + 8v * -1) + v(5 + 8v)) = 0 ((-5 + -8v) + v(5 + 8v)) = 0 (-5 + -8v + (5 * v + 8v * v)) = 0 (-5 + -8v + (5v + 8v2)) = 0 Combine like terms: -8v + 5v = -3v (-5 + -3v + 8v2) = 0 Solving -5 + -3v + 8v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -8v)(1 + -1v) = 0Subproblem 1
Set the factor '(-5 + -8v)' equal to zero and attempt to solve: Simplifying -5 + -8v = 0 Solving -5 + -8v = 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 + -8v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8v = 0 + 5 -8v = 0 + 5 Combine like terms: 0 + 5 = 5 -8v = 5 Divide each side by '-8'. v = -0.625 Simplifying v = -0.625Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 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 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Solution
v = {-0.625, 1}
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