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Simplifying (3 + -1v)(5v + -4) = 0 Reorder the terms: (3 + -1v)(-4 + 5v) = 0 Multiply (3 + -1v) * (-4 + 5v) (3(-4 + 5v) + -1v * (-4 + 5v)) = 0 ((-4 * 3 + 5v * 3) + -1v * (-4 + 5v)) = 0 ((-12 + 15v) + -1v * (-4 + 5v)) = 0 (-12 + 15v + (-4 * -1v + 5v * -1v)) = 0 (-12 + 15v + (4v + -5v2)) = 0 Combine like terms: 15v + 4v = 19v (-12 + 19v + -5v2) = 0 Solving -12 + 19v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + v)(4 + -5v) = 0Subproblem 1
Set the factor '(-3 + v)' equal to zero and attempt to solve: Simplifying -3 + v = 0 Solving -3 + v = 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 + v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + v = 0 + 3 v = 0 + 3 Combine like terms: 0 + 3 = 3 v = 3 Simplifying v = 3Subproblem 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 = {3, 0.8}
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