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Simplifying (5v + -3)(6v + -5) = 0 Reorder the terms: (-3 + 5v)(6v + -5) = 0 Reorder the terms: (-3 + 5v)(-5 + 6v) = 0 Multiply (-3 + 5v) * (-5 + 6v) (-3(-5 + 6v) + 5v * (-5 + 6v)) = 0 ((-5 * -3 + 6v * -3) + 5v * (-5 + 6v)) = 0 ((15 + -18v) + 5v * (-5 + 6v)) = 0 (15 + -18v + (-5 * 5v + 6v * 5v)) = 0 (15 + -18v + (-25v + 30v2)) = 0 Combine like terms: -18v + -25v = -43v (15 + -43v + 30v2) = 0 Solving 15 + -43v + 30v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + -5v)(5 + -6v) = 0Subproblem 1
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 = 0.6Subproblem 2
Set the factor '(5 + -6v)' equal to zero and attempt to solve: Simplifying 5 + -6v = 0 Solving 5 + -6v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6v = 0 + -5 -6v = 0 + -5 Combine like terms: 0 + -5 = -5 -6v = -5 Divide each side by '-6'. v = 0.8333333333 Simplifying v = 0.8333333333Solution
v = {0.6, 0.8333333333}
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