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Simplifying (4v + -3)(5v + -4) = 0 Reorder the terms: (-3 + 4v)(5v + -4) = 0 Reorder the terms: (-3 + 4v)(-4 + 5v) = 0 Multiply (-3 + 4v) * (-4 + 5v) (-3(-4 + 5v) + 4v * (-4 + 5v)) = 0 ((-4 * -3 + 5v * -3) + 4v * (-4 + 5v)) = 0 ((12 + -15v) + 4v * (-4 + 5v)) = 0 (12 + -15v + (-4 * 4v + 5v * 4v)) = 0 (12 + -15v + (-16v + 20v2)) = 0 Combine like terms: -15v + -16v = -31v (12 + -31v + 20v2) = 0 Solving 12 + -31v + 20v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + -4v)(4 + -5v) = 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 '(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 = {0.75, 0.8}
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