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Simplifying 6v2 + 43v + 7 = 0 Reorder the terms: 7 + 43v + 6v2 = 0 Solving 7 + 43v + 6v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + v)(1 + 6v) = 0Subproblem 1
Set the factor '(7 + v)' equal to zero and attempt to solve: Simplifying 7 + v = 0 Solving 7 + v = 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 + v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + v = 0 + -7 v = 0 + -7 Combine like terms: 0 + -7 = -7 v = -7 Simplifying v = -7Subproblem 2
Set the factor '(1 + 6v)' equal to zero and attempt to solve: Simplifying 1 + 6v = 0 Solving 1 + 6v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6v = 0 + -1 6v = 0 + -1 Combine like terms: 0 + -1 = -1 6v = -1 Divide each side by '6'. v = -0.1666666667 Simplifying v = -0.1666666667Solution
v = {-7, -0.1666666667}
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