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Simplifying v2 + 18v + -19 = 0 Reorder the terms: -19 + 18v + v2 = 0 Solving -19 + 18v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-19 + -1v)(1 + -1v) = 0Subproblem 1
Set the factor '(-19 + -1v)' equal to zero and attempt to solve: Simplifying -19 + -1v = 0 Solving -19 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1v = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1v = 0 + 19 -1v = 0 + 19 Combine like terms: 0 + 19 = 19 -1v = 19 Divide each side by '-1'. v = -19 Simplifying v = -19Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 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 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Solution
v = {-19, 1}
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