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Simplifying (2v + -7)(5 + -1v) = 0 Reorder the terms: (-7 + 2v)(5 + -1v) = 0 Multiply (-7 + 2v) * (5 + -1v) (-7(5 + -1v) + 2v * (5 + -1v)) = 0 ((5 * -7 + -1v * -7) + 2v * (5 + -1v)) = 0 ((-35 + 7v) + 2v * (5 + -1v)) = 0 (-35 + 7v + (5 * 2v + -1v * 2v)) = 0 (-35 + 7v + (10v + -2v2)) = 0 Combine like terms: 7v + 10v = 17v (-35 + 17v + -2v2) = 0 Solving -35 + 17v + -2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + v)(7 + -2v) = 0Subproblem 1
Set the factor '(-5 + v)' equal to zero and attempt to solve: Simplifying -5 + v = 0 Solving -5 + v = 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 + v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + v = 0 + 5 v = 0 + 5 Combine like terms: 0 + 5 = 5 v = 5 Simplifying v = 5Subproblem 2
Set the factor '(7 + -2v)' equal to zero and attempt to solve: Simplifying 7 + -2v = 0 Solving 7 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2v = 0 + -7 -2v = 0 + -7 Combine like terms: 0 + -7 = -7 -2v = -7 Divide each side by '-2'. v = 3.5 Simplifying v = 3.5Solution
v = {5, 3.5}
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