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Simplifying (5v + -8)(1 + -1v) = 0 Reorder the terms: (-8 + 5v)(1 + -1v) = 0 Multiply (-8 + 5v) * (1 + -1v) (-8(1 + -1v) + 5v * (1 + -1v)) = 0 ((1 * -8 + -1v * -8) + 5v * (1 + -1v)) = 0 ((-8 + 8v) + 5v * (1 + -1v)) = 0 (-8 + 8v + (1 * 5v + -1v * 5v)) = 0 (-8 + 8v + (5v + -5v2)) = 0 Combine like terms: 8v + 5v = 13v (-8 + 13v + -5v2) = 0 Solving -8 + 13v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + 5v)(1 + -1v) = 0Subproblem 1
Set the factor '(-8 + 5v)' equal to zero and attempt to solve: Simplifying -8 + 5v = 0 Solving -8 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5v = 0 + 8 5v = 0 + 8 Combine like terms: 0 + 8 = 8 5v = 8 Divide each side by '5'. v = 1.6 Simplifying v = 1.6Subproblem 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 = {1.6, 1}
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