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Simplifying (3 + -1v)(2v + -5) = 0 Reorder the terms: (3 + -1v)(-5 + 2v) = 0 Multiply (3 + -1v) * (-5 + 2v) (3(-5 + 2v) + -1v * (-5 + 2v)) = 0 ((-5 * 3 + 2v * 3) + -1v * (-5 + 2v)) = 0 ((-15 + 6v) + -1v * (-5 + 2v)) = 0 (-15 + 6v + (-5 * -1v + 2v * -1v)) = 0 (-15 + 6v + (5v + -2v2)) = 0 Combine like terms: 6v + 5v = 11v (-15 + 11v + -2v2) = 0 Solving -15 + 11v + -2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + v)(5 + -2v) = 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 '(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 = {3, 2.5}
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