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Simplifying (6 + -1v)(5v + 3) = 0 Reorder the terms: (6 + -1v)(3 + 5v) = 0 Multiply (6 + -1v) * (3 + 5v) (6(3 + 5v) + -1v * (3 + 5v)) = 0 ((3 * 6 + 5v * 6) + -1v * (3 + 5v)) = 0 ((18 + 30v) + -1v * (3 + 5v)) = 0 (18 + 30v + (3 * -1v + 5v * -1v)) = 0 (18 + 30v + (-3v + -5v2)) = 0 Combine like terms: 30v + -3v = 27v (18 + 27v + -5v2) = 0 Solving 18 + 27v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (6 + -1v)(3 + 5v) = 0Subproblem 1
Set the factor '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 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 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6Subproblem 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 = {6, -0.6}
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