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Simplifying 15v2 + 11v + -15 = -3 Reorder the terms: -15 + 11v + 15v2 = -3 Solving -15 + 11v + 15v2 = -3 Solving for variable 'v'. Reorder the terms: -15 + 3 + 11v + 15v2 = -3 + 3 Combine like terms: -15 + 3 = -12 -12 + 11v + 15v2 = -3 + 3 Combine like terms: -3 + 3 = 0 -12 + 11v + 15v2 = 0 Factor a trinomial. (-4 + -3v)(3 + -5v) = 0Subproblem 1
Set the factor '(-4 + -3v)' equal to zero and attempt to solve: Simplifying -4 + -3v = 0 Solving -4 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3v = 0 + 4 -3v = 0 + 4 Combine like terms: 0 + 4 = 4 -3v = 4 Divide each side by '-3'. v = -1.333333333 Simplifying v = -1.333333333Subproblem 2
Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6Solution
v = {-1.333333333, 0.6}
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