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Simplifying (2 + v)(3v + 7) = 0 Reorder the terms: (2 + v)(7 + 3v) = 0 Multiply (2 + v) * (7 + 3v) (2(7 + 3v) + v(7 + 3v)) = 0 ((7 * 2 + 3v * 2) + v(7 + 3v)) = 0 ((14 + 6v) + v(7 + 3v)) = 0 (14 + 6v + (7 * v + 3v * v)) = 0 (14 + 6v + (7v + 3v2)) = 0 Combine like terms: 6v + 7v = 13v (14 + 13v + 3v2) = 0 Solving 14 + 13v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + 3v)(2 + v) = 0Subproblem 1
Set the factor '(7 + 3v)' equal to zero and attempt to solve: Simplifying 7 + 3v = 0 Solving 7 + 3v = 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 + 3v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3v = 0 + -7 3v = 0 + -7 Combine like terms: 0 + -7 = -7 3v = -7 Divide each side by '3'. v = -2.333333333 Simplifying v = -2.333333333Subproblem 2
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 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 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Solution
v = {-2.333333333, -2}
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