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Simplifying (7 + -1v)(4v + -5) = 0 Reorder the terms: (7 + -1v)(-5 + 4v) = 0 Multiply (7 + -1v) * (-5 + 4v) (7(-5 + 4v) + -1v * (-5 + 4v)) = 0 ((-5 * 7 + 4v * 7) + -1v * (-5 + 4v)) = 0 ((-35 + 28v) + -1v * (-5 + 4v)) = 0 (-35 + 28v + (-5 * -1v + 4v * -1v)) = 0 (-35 + 28v + (5v + -4v2)) = 0 Combine like terms: 28v + 5v = 33v (-35 + 33v + -4v2) = 0 Solving -35 + 33v + -4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + v)(5 + -4v) = 0Subproblem 1
Set the factor '(-7 + v)' equal to zero and attempt to solve: Simplifying -7 + v = 0 Solving -7 + v = 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 + v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + v = 0 + 7 v = 0 + 7 Combine like terms: 0 + 7 = 7 v = 7 Simplifying v = 7Subproblem 2
Set the factor '(5 + -4v)' equal to zero and attempt to solve: Simplifying 5 + -4v = 0 Solving 5 + -4v = 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 + -4v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = 0 + -5 -4v = 0 + -5 Combine like terms: 0 + -5 = -5 -4v = -5 Divide each side by '-4'. v = 1.25 Simplifying v = 1.25Solution
v = {7, 1.25}
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