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Simplifying (2 + v)(3v + -5) = 0 Reorder the terms: (2 + v)(-5 + 3v) = 0 Multiply (2 + v) * (-5 + 3v) (2(-5 + 3v) + v(-5 + 3v)) = 0 ((-5 * 2 + 3v * 2) + v(-5 + 3v)) = 0 ((-10 + 6v) + v(-5 + 3v)) = 0 (-10 + 6v + (-5 * v + 3v * v)) = 0 (-10 + 6v + (-5v + 3v2)) = 0 Combine like terms: 6v + -5v = 1v (-10 + 1v + 3v2) = 0 Solving -10 + 1v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-2 + -1v)(5 + -3v) = 0Subproblem 1
Set the factor '(-2 + -1v)' equal to zero and attempt to solve: Simplifying -2 + -1v = 0 Solving -2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1v = 0 + 2 -1v = 0 + 2 Combine like terms: 0 + 2 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2Subproblem 2
Set the factor '(5 + -3v)' equal to zero and attempt to solve: Simplifying 5 + -3v = 0 Solving 5 + -3v = 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 + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = 0 + -5 -3v = 0 + -5 Combine like terms: 0 + -5 = -5 -3v = -5 Divide each side by '-3'. v = 1.666666667 Simplifying v = 1.666666667Solution
v = {-2, 1.666666667}
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