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Simplifying (5v + -6)(2 + -1v) = 0 Reorder the terms: (-6 + 5v)(2 + -1v) = 0 Multiply (-6 + 5v) * (2 + -1v) (-6(2 + -1v) + 5v * (2 + -1v)) = 0 ((2 * -6 + -1v * -6) + 5v * (2 + -1v)) = 0 ((-12 + 6v) + 5v * (2 + -1v)) = 0 (-12 + 6v + (2 * 5v + -1v * 5v)) = 0 (-12 + 6v + (10v + -5v2)) = 0 Combine like terms: 6v + 10v = 16v (-12 + 16v + -5v2) = 0 Solving -12 + 16v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-2 + v)(6 + -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 '(6 + -5v)' equal to zero and attempt to solve: Simplifying 6 + -5v = 0 Solving 6 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5v = 0 + -6 -5v = 0 + -6 Combine like terms: 0 + -6 = -6 -5v = -6 Divide each side by '-5'. v = 1.2 Simplifying v = 1.2Solution
v = {2, 1.2}
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