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Simplifying 21 + -1v(11 + 6v) = 0 21 + (11 * -1v + 6v * -1v) = 0 21 + (-11v + -6v2) = 0 Solving 21 + -11v + -6v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + -6v)(3 + v) = 0Subproblem 1
Set the factor '(7 + -6v)' equal to zero and attempt to solve: Simplifying 7 + -6v = 0 Solving 7 + -6v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6v = 0 + -7 -6v = 0 + -7 Combine like terms: 0 + -7 = -7 -6v = -7 Divide each side by '-6'. v = 1.166666667 Simplifying v = 1.166666667Subproblem 2
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 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 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {1.166666667, -3}
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