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Simplifying (9 + -1v)(2v + -3) = 0 Reorder the terms: (9 + -1v)(-3 + 2v) = 0 Multiply (9 + -1v) * (-3 + 2v) (9(-3 + 2v) + -1v * (-3 + 2v)) = 0 ((-3 * 9 + 2v * 9) + -1v * (-3 + 2v)) = 0 ((-27 + 18v) + -1v * (-3 + 2v)) = 0 (-27 + 18v + (-3 * -1v + 2v * -1v)) = 0 (-27 + 18v + (3v + -2v2)) = 0 Combine like terms: 18v + 3v = 21v (-27 + 21v + -2v2) = 0 Solving -27 + 21v + -2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + v)(3 + -2v) = 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 '(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 = {9, 1.5}
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