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Simplifying (2 + v)(5v + 1) = 0 Reorder the terms: (2 + v)(1 + 5v) = 0 Multiply (2 + v) * (1 + 5v) (2(1 + 5v) + v(1 + 5v)) = 0 ((1 * 2 + 5v * 2) + v(1 + 5v)) = 0 ((2 + 10v) + v(1 + 5v)) = 0 (2 + 10v + (1 * v + 5v * v)) = 0 (2 + 10v + (1v + 5v2)) = 0 Combine like terms: 10v + 1v = 11v (2 + 11v + 5v2) = 0 Solving 2 + 11v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + v)(1 + 5v) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(1 + 5v)' equal to zero and attempt to solve: Simplifying 1 + 5v = 0 Solving 1 + 5v = 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 + 5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5v = 0 + -1 5v = 0 + -1 Combine like terms: 0 + -1 = -1 5v = -1 Divide each side by '5'. v = -0.2 Simplifying v = -0.2Solution
v = {-2, -0.2}
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