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Simplifying (v + -2)(8v + -5) = 0 Reorder the terms: (-2 + v)(8v + -5) = 0 Reorder the terms: (-2 + v)(-5 + 8v) = 0 Multiply (-2 + v) * (-5 + 8v) (-2(-5 + 8v) + v(-5 + 8v)) = 0 ((-5 * -2 + 8v * -2) + v(-5 + 8v)) = 0 ((10 + -16v) + v(-5 + 8v)) = 0 (10 + -16v + (-5 * v + 8v * v)) = 0 (10 + -16v + (-5v + 8v2)) = 0 Combine like terms: -16v + -5v = -21v (10 + -21v + 8v2) = 0 Solving 10 + -21v + 8v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + -8v)(2 + -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 '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {0.625, 2}
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