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Simplifying (2 + -1v)(5v + -3) = 0 Reorder the terms: (2 + -1v)(-3 + 5v) = 0 Multiply (2 + -1v) * (-3 + 5v) (2(-3 + 5v) + -1v * (-3 + 5v)) = 0 ((-3 * 2 + 5v * 2) + -1v * (-3 + 5v)) = 0 ((-6 + 10v) + -1v * (-3 + 5v)) = 0 (-6 + 10v + (-3 * -1v + 5v * -1v)) = 0 (-6 + 10v + (3v + -5v2)) = 0 Combine like terms: 10v + 3v = 13v (-6 + 13v + -5v2) = 0 Solving -6 + 13v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-2 + v)(3 + -5v) = 0Subproblem 1
Set the factor '(-2 + v)' equal to zero and attempt to solve: Simplifying -2 + v = 0 Solving -2 + v = 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 + v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + v = 0 + 2 v = 0 + 2 Combine like terms: 0 + 2 = 2 v = 2 Simplifying v = 2Subproblem 2
Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 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 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6Solution
v = {2, 0.6}
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