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Simplifying v2 + 3v + -270 = 0 Reorder the terms: -270 + 3v + v2 = 0 Solving -270 + 3v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-18 + -1v)(15 + -1v) = 0Subproblem 1
Set the factor '(-18 + -1v)' equal to zero and attempt to solve: Simplifying -18 + -1v = 0 Solving -18 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1v = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1v = 0 + 18 -1v = 0 + 18 Combine like terms: 0 + 18 = 18 -1v = 18 Divide each side by '-1'. v = -18 Simplifying v = -18Subproblem 2
Set the factor '(15 + -1v)' equal to zero and attempt to solve: Simplifying 15 + -1v = 0 Solving 15 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1v = 0 + -15 -1v = 0 + -15 Combine like terms: 0 + -15 = -15 -1v = -15 Divide each side by '-1'. v = 15 Simplifying v = 15Solution
v = {-18, 15}
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