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Simplifying (4 + -1v)(2v + -5) = 0 Reorder the terms: (4 + -1v)(-5 + 2v) = 0 Multiply (4 + -1v) * (-5 + 2v) (4(-5 + 2v) + -1v * (-5 + 2v)) = 0 ((-5 * 4 + 2v * 4) + -1v * (-5 + 2v)) = 0 ((-20 + 8v) + -1v * (-5 + 2v)) = 0 (-20 + 8v + (-5 * -1v + 2v * -1v)) = 0 (-20 + 8v + (5v + -2v2)) = 0 Combine like terms: 8v + 5v = 13v (-20 + 13v + -2v2) = 0 Solving -20 + 13v + -2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + v)(5 + -2v) = 0Subproblem 1
Set the factor '(-4 + v)' equal to zero and attempt to solve: Simplifying -4 + v = 0 Solving -4 + v = 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 + v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + v = 0 + 4 v = 0 + 4 Combine like terms: 0 + 4 = 4 v = 4 Simplifying v = 4Subproblem 2
Set the factor '(5 + -2v)' equal to zero and attempt to solve: Simplifying 5 + -2v = 0 Solving 5 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = 0 + -5 -2v = 0 + -5 Combine like terms: 0 + -5 = -5 -2v = -5 Divide each side by '-2'. v = 2.5 Simplifying v = 2.5Solution
v = {4, 2.5}
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