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Simplifying (1 + -1v)(4v + 3) = 0 Reorder the terms: (1 + -1v)(3 + 4v) = 0 Multiply (1 + -1v) * (3 + 4v) (1(3 + 4v) + -1v * (3 + 4v)) = 0 ((3 * 1 + 4v * 1) + -1v * (3 + 4v)) = 0 ((3 + 4v) + -1v * (3 + 4v)) = 0 (3 + 4v + (3 * -1v + 4v * -1v)) = 0 (3 + 4v + (-3v + -4v2)) = 0 Combine like terms: 4v + -3v = 1v (3 + 1v + -4v2) = 0 Solving 3 + 1v + -4v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + -1v)(3 + 4v) = 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 '(3 + 4v)' equal to zero and attempt to solve: Simplifying 3 + 4v = 0 Solving 3 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4v = 0 + -3 4v = 0 + -3 Combine like terms: 0 + -3 = -3 4v = -3 Divide each side by '4'. v = -0.75 Simplifying v = -0.75Solution
v = {1, -0.75}
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