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Simplifying (7 + v)(4v + -5) = 0 Reorder the terms: (7 + v)(-5 + 4v) = 0 Multiply (7 + v) * (-5 + 4v) (7(-5 + 4v) + v(-5 + 4v)) = 0 ((-5 * 7 + 4v * 7) + v(-5 + 4v)) = 0 ((-35 + 28v) + v(-5 + 4v)) = 0 (-35 + 28v + (-5 * v + 4v * v)) = 0 (-35 + 28v + (-5v + 4v2)) = 0 Combine like terms: 28v + -5v = 23v (-35 + 23v + 4v2) = 0 Solving -35 + 23v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + -1v)(5 + -4v) = 0Subproblem 1
Set the factor '(-7 + -1v)' equal to zero and attempt to solve: Simplifying -7 + -1v = 0 Solving -7 + -1v = 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 + -1v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1v = 0 + 7 -1v = 0 + 7 Combine like terms: 0 + 7 = 7 -1v = 7 Divide each side by '-1'. 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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