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Simplifying (v + 35)(v + -40) = 0 Reorder the terms: (35 + v)(v + -40) = 0 Reorder the terms: (35 + v)(-40 + v) = 0 Multiply (35 + v) * (-40 + v) (35(-40 + v) + v(-40 + v)) = 0 ((-40 * 35 + v * 35) + v(-40 + v)) = 0 ((-1400 + 35v) + v(-40 + v)) = 0 (-1400 + 35v + (-40 * v + v * v)) = 0 (-1400 + 35v + (-40v + v2)) = 0 Combine like terms: 35v + -40v = -5v (-1400 + -5v + v2) = 0 Solving -1400 + -5v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-35 + -1v)(40 + -1v) = 0Subproblem 1
Set the factor '(-35 + -1v)' equal to zero and attempt to solve: Simplifying -35 + -1v = 0 Solving -35 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -1v = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -1v = 0 + 35 -1v = 0 + 35 Combine like terms: 0 + 35 = 35 -1v = 35 Divide each side by '-1'. v = -35 Simplifying v = -35Subproblem 2
Set the factor '(40 + -1v)' equal to zero and attempt to solve: Simplifying 40 + -1v = 0 Solving 40 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1v = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1v = 0 + -40 -1v = 0 + -40 Combine like terms: 0 + -40 = -40 -1v = -40 Divide each side by '-1'. v = 40 Simplifying v = 40Solution
v = {-35, 40}
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