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Simplifying 3v2 = v + 10 Reorder the terms: 3v2 = 10 + v Solving 3v2 = 10 + v Solving for variable 'v'. Reorder the terms: -10 + -1v + 3v2 = 10 + v + -10 + -1v Reorder the terms: -10 + -1v + 3v2 = 10 + -10 + v + -1v Combine like terms: 10 + -10 = 0 -10 + -1v + 3v2 = 0 + v + -1v -10 + -1v + 3v2 = v + -1v Combine like terms: v + -1v = 0 -10 + -1v + 3v2 = 0 Factor a trinomial. (-5 + -3v)(2 + -1v) = 0Subproblem 1
Set the factor '(-5 + -3v)' equal to zero and attempt to solve: Simplifying -5 + -3v = 0 Solving -5 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3v = 0 + 5 -3v = 0 + 5 Combine like terms: 0 + 5 = 5 -3v = 5 Divide each side by '-3'. v = -1.666666667 Simplifying v = -1.666666667Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 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 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {-1.666666667, 2}
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