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Simplifying (4v + -3)(v + -2) = 0 Reorder the terms: (-3 + 4v)(v + -2) = 0 Reorder the terms: (-3 + 4v)(-2 + v) = 0 Multiply (-3 + 4v) * (-2 + v) (-3(-2 + v) + 4v * (-2 + v)) = 0 ((-2 * -3 + v * -3) + 4v * (-2 + v)) = 0 ((6 + -3v) + 4v * (-2 + v)) = 0 (6 + -3v + (-2 * 4v + v * 4v)) = 0 (6 + -3v + (-8v + 4v2)) = 0 Combine like terms: -3v + -8v = -11v (6 + -11v + 4v2) = 0 Solving 6 + -11v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + -4v)(2 + -1v) = 0Subproblem 1
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 = 0.75Subproblem 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 = {0.75, 2}
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