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Simplifying (9 + -1v)(3v + -2) = 0 Reorder the terms: (9 + -1v)(-2 + 3v) = 0 Multiply (9 + -1v) * (-2 + 3v) (9(-2 + 3v) + -1v * (-2 + 3v)) = 0 ((-2 * 9 + 3v * 9) + -1v * (-2 + 3v)) = 0 ((-18 + 27v) + -1v * (-2 + 3v)) = 0 (-18 + 27v + (-2 * -1v + 3v * -1v)) = 0 (-18 + 27v + (2v + -3v2)) = 0 Combine like terms: 27v + 2v = 29v (-18 + 29v + -3v2) = 0 Solving -18 + 29v + -3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + v)(2 + -3v) = 0Subproblem 1
Set the factor '(-9 + v)' equal to zero and attempt to solve: Simplifying -9 + v = 0 Solving -9 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + v = 0 + 9 v = 0 + 9 Combine like terms: 0 + 9 = 9 v = 9 Simplifying v = 9Subproblem 2
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 = 0.6666666667Solution
v = {9, 0.6666666667}
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