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Simplifying (13v + 7)(6v + -5) = 0 Reorder the terms: (7 + 13v)(6v + -5) = 0 Reorder the terms: (7 + 13v)(-5 + 6v) = 0 Multiply (7 + 13v) * (-5 + 6v) (7(-5 + 6v) + 13v * (-5 + 6v)) = 0 ((-5 * 7 + 6v * 7) + 13v * (-5 + 6v)) = 0 ((-35 + 42v) + 13v * (-5 + 6v)) = 0 (-35 + 42v + (-5 * 13v + 6v * 13v)) = 0 (-35 + 42v + (-65v + 78v2)) = 0 Combine like terms: 42v + -65v = -23v (-35 + -23v + 78v2) = 0 Solving -35 + -23v + 78v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + -13v)(5 + -6v) = 0Subproblem 1
Set the factor '(-7 + -13v)' equal to zero and attempt to solve: Simplifying -7 + -13v = 0 Solving -7 + -13v = 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 + -13v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -13v = 0 + 7 -13v = 0 + 7 Combine like terms: 0 + 7 = 7 -13v = 7 Divide each side by '-13'. v = -0.5384615385 Simplifying v = -0.5384615385Subproblem 2
Set the factor '(5 + -6v)' equal to zero and attempt to solve: Simplifying 5 + -6v = 0 Solving 5 + -6v = 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 + -6v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6v = 0 + -5 -6v = 0 + -5 Combine like terms: 0 + -5 = -5 -6v = -5 Divide each side by '-6'. v = 0.8333333333 Simplifying v = 0.8333333333Solution
v = {-0.5384615385, 0.8333333333}
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