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Simplifying 7v2 + 51v + 14 = 0 Reorder the terms: 14 + 51v + 7v2 = 0 Solving 14 + 51v + 7v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + v)(2 + 7v) = 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 '(2 + 7v)' equal to zero and attempt to solve: Simplifying 2 + 7v = 0 Solving 2 + 7v = 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 + 7v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7v = 0 + -2 7v = 0 + -2 Combine like terms: 0 + -2 = -2 7v = -2 Divide each side by '7'. v = -0.2857142857 Simplifying v = -0.2857142857Solution
v = {-7, -0.2857142857}
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