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Simplifying (10v + 11)(3v + 2) = 0 Reorder the terms: (11 + 10v)(3v + 2) = 0 Reorder the terms: (11 + 10v)(2 + 3v) = 0 Multiply (11 + 10v) * (2 + 3v) (11(2 + 3v) + 10v * (2 + 3v)) = 0 ((2 * 11 + 3v * 11) + 10v * (2 + 3v)) = 0 ((22 + 33v) + 10v * (2 + 3v)) = 0 (22 + 33v + (2 * 10v + 3v * 10v)) = 0 (22 + 33v + (20v + 30v2)) = 0 Combine like terms: 33v + 20v = 53v (22 + 53v + 30v2) = 0 Solving 22 + 53v + 30v2 = 0 Solving for variable 'v'. Factor a trinomial. (11 + 10v)(2 + 3v) = 0Subproblem 1
Set the factor '(11 + 10v)' equal to zero and attempt to solve: Simplifying 11 + 10v = 0 Solving 11 + 10v = 0 Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 10v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10v = 0 + -11 10v = 0 + -11 Combine like terms: 0 + -11 = -11 10v = -11 Divide each side by '10'. v = -1.1 Simplifying v = -1.1Subproblem 2
Set the factor '(2 + 3v)' equal to zero and attempt to solve: Simplifying 2 + 3v = 0 Solving 2 + 3v = 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 + 3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3v = 0 + -2 3v = 0 + -2 Combine like terms: 0 + -2 = -2 3v = -2 Divide each side by '3'. v = -0.6666666667 Simplifying v = -0.6666666667Solution
v = {-1.1, -0.6666666667}
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