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Simplifying (1 + v)(5v + 3) = 0 Reorder the terms: (1 + v)(3 + 5v) = 0 Multiply (1 + v) * (3 + 5v) (1(3 + 5v) + v(3 + 5v)) = 0 ((3 * 1 + 5v * 1) + v(3 + 5v)) = 0 ((3 + 5v) + v(3 + 5v)) = 0 (3 + 5v + (3 * v + 5v * v)) = 0 (3 + 5v + (3v + 5v2)) = 0 Combine like terms: 5v + 3v = 8v (3 + 8v + 5v2) = 0 Solving 3 + 8v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + v)(3 + 5v) = 0Subproblem 1
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Subproblem 2
Set the factor '(3 + 5v)' equal to zero and attempt to solve: Simplifying 3 + 5v = 0 Solving 3 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5v = 0 + -3 5v = 0 + -3 Combine like terms: 0 + -3 = -3 5v = -3 Divide each side by '5'. v = -0.6 Simplifying v = -0.6Solution
v = {-1, -0.6}
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