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Simplifying 10v2 = 11v + 6 Reorder the terms: 10v2 = 6 + 11v Solving 10v2 = 6 + 11v Solving for variable 'v'. Reorder the terms: -6 + -11v + 10v2 = 6 + 11v + -6 + -11v Reorder the terms: -6 + -11v + 10v2 = 6 + -6 + 11v + -11v Combine like terms: 6 + -6 = 0 -6 + -11v + 10v2 = 0 + 11v + -11v -6 + -11v + 10v2 = 11v + -11v Combine like terms: 11v + -11v = 0 -6 + -11v + 10v2 = 0 Factor a trinomial. (-2 + -5v)(3 + -2v) = 0Subproblem 1
Set the factor '(-2 + -5v)' equal to zero and attempt to solve: Simplifying -2 + -5v = 0 Solving -2 + -5v = 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 + -5v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5v = 0 + 2 -5v = 0 + 2 Combine like terms: 0 + 2 = 2 -5v = 2 Divide each side by '-5'. v = -0.4 Simplifying v = -0.4Subproblem 2
Set the factor '(3 + -2v)' equal to zero and attempt to solve: Simplifying 3 + -2v = 0 Solving 3 + -2v = 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 + -2v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2v = 0 + -3 -2v = 0 + -3 Combine like terms: 0 + -3 = -3 -2v = -3 Divide each side by '-2'. v = 1.5 Simplifying v = 1.5Solution
v = {-0.4, 1.5}
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