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Simplifying 6v2 + 3v + -4 = -4v2 Reorder the terms: -4 + 3v + 6v2 = -4v2 Solving -4 + 3v + 6v2 = -4v2 Solving for variable 'v'. Combine like terms: 6v2 + 4v2 = 10v2 -4 + 3v + 10v2 = -4v2 + 4v2 Combine like terms: -4v2 + 4v2 = 0 -4 + 3v + 10v2 = 0 Factor a trinomial. (-4 + -5v)(1 + -2v) = 0Subproblem 1
Set the factor '(-4 + -5v)' equal to zero and attempt to solve: Simplifying -4 + -5v = 0 Solving -4 + -5v = 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 + -5v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5v = 0 + 4 -5v = 0 + 4 Combine like terms: 0 + 4 = 4 -5v = 4 Divide each side by '-5'. v = -0.8 Simplifying v = -0.8Subproblem 2
Set the factor '(1 + -2v)' equal to zero and attempt to solve: Simplifying 1 + -2v = 0 Solving 1 + -2v = 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 + -2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = 0 + -1 -2v = 0 + -1 Combine like terms: 0 + -1 = -1 -2v = -1 Divide each side by '-2'. v = 0.5 Simplifying v = 0.5Solution
v = {-0.8, 0.5}
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