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Simplifying v(3v + -5) = -2 Reorder the terms: v(-5 + 3v) = -2 (-5 * v + 3v * v) = -2 (-5v + 3v2) = -2 Solving -5v + 3v2 = -2 Solving for variable 'v'. Reorder the terms: 2 + -5v + 3v2 = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -5v + 3v2 = 0 Factor a trinomial. (2 + -3v)(1 + -1v) = 0Subproblem 1
Set the factor '(2 + -3v)' equal to zero and attempt to solve: Simplifying 2 + -3v = 0 Solving 2 + -3v = 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 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667Subproblem 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 = {0.6666666667, 1}
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