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Simplifying (5v + 2)(5 + -1v) = 0 Reorder the terms: (2 + 5v)(5 + -1v) = 0 Multiply (2 + 5v) * (5 + -1v) (2(5 + -1v) + 5v * (5 + -1v)) = 0 ((5 * 2 + -1v * 2) + 5v * (5 + -1v)) = 0 ((10 + -2v) + 5v * (5 + -1v)) = 0 (10 + -2v + (5 * 5v + -1v * 5v)) = 0 (10 + -2v + (25v + -5v2)) = 0 Combine like terms: -2v + 25v = 23v (10 + 23v + -5v2) = 0 Solving 10 + 23v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + -1v)(2 + 5v) = 0Subproblem 1
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 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 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Subproblem 2
Set the factor '(2 + 5v)' equal to zero and attempt to solve: Simplifying 2 + 5v = 0 Solving 2 + 5v = 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 + 5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5v = 0 + -2 5v = 0 + -2 Combine like terms: 0 + -2 = -2 5v = -2 Divide each side by '5'. v = -0.4 Simplifying v = -0.4Solution
v = {5, -0.4}
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