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Simplifying 3v2 + 100v + -5700 = 0 Reorder the terms: -5700 + 100v + 3v2 = 0 Solving -5700 + 100v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-190 + -3v)(30 + -1v) = 0Subproblem 1
Set the factor '(-190 + -3v)' equal to zero and attempt to solve: Simplifying -190 + -3v = 0 Solving -190 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '190' to each side of the equation. -190 + 190 + -3v = 0 + 190 Combine like terms: -190 + 190 = 0 0 + -3v = 0 + 190 -3v = 0 + 190 Combine like terms: 0 + 190 = 190 -3v = 190 Divide each side by '-3'. v = -63.33333333 Simplifying v = -63.33333333Subproblem 2
Set the factor '(30 + -1v)' equal to zero and attempt to solve: Simplifying 30 + -1v = 0 Solving 30 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1v = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1v = 0 + -30 -1v = 0 + -30 Combine like terms: 0 + -30 = -30 -1v = -30 Divide each side by '-1'. v = 30 Simplifying v = 30Solution
v = {-63.33333333, 30}
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