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Simplifying (3 + -1v)(5v + -2) = 0 Reorder the terms: (3 + -1v)(-2 + 5v) = 0 Multiply (3 + -1v) * (-2 + 5v) (3(-2 + 5v) + -1v * (-2 + 5v)) = 0 ((-2 * 3 + 5v * 3) + -1v * (-2 + 5v)) = 0 ((-6 + 15v) + -1v * (-2 + 5v)) = 0 (-6 + 15v + (-2 * -1v + 5v * -1v)) = 0 (-6 + 15v + (2v + -5v2)) = 0 Combine like terms: 15v + 2v = 17v (-6 + 17v + -5v2) = 0 Solving -6 + 17v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + v)(2 + -5v) = 0Subproblem 1
Set the factor '(-3 + v)' equal to zero and attempt to solve: Simplifying -3 + v = 0 Solving -3 + v = 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 + v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + v = 0 + 3 v = 0 + 3 Combine like terms: 0 + 3 = 3 v = 3 Simplifying v = 3Subproblem 2
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 = 0.4Solution
v = {3, 0.4}
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