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Simplifying (5v + -4)(1 + v) = 0 Reorder the terms: (-4 + 5v)(1 + v) = 0 Multiply (-4 + 5v) * (1 + v) (-4(1 + v) + 5v * (1 + v)) = 0 ((1 * -4 + v * -4) + 5v * (1 + v)) = 0 ((-4 + -4v) + 5v * (1 + v)) = 0 (-4 + -4v + (1 * 5v + v * 5v)) = 0 (-4 + -4v + (5v + 5v2)) = 0 Combine like terms: -4v + 5v = 1v (-4 + 1v + 5v2) = 0 Solving -4 + 1v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -1v)(4 + -5v) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(4 + -5v)' equal to zero and attempt to solve: Simplifying 4 + -5v = 0 Solving 4 + -5v = 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 + -5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 0 + -4 -5v = 0 + -4 Combine like terms: 0 + -4 = -4 -5v = -4 Divide each side by '-5'. v = 0.8 Simplifying v = 0.8Solution
v = {-1, 0.8}
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