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Simplifying 7v2 + 32v + 16 = 0 Reorder the terms: 16 + 32v + 7v2 = 0 Solving 16 + 32v + 7v2 = 0 Solving for variable 'v'. Factor a trinomial. (4 + v)(4 + 7v) = 0Subproblem 1
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Subproblem 2
Set the factor '(4 + 7v)' equal to zero and attempt to solve: Simplifying 4 + 7v = 0 Solving 4 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7v = 0 + -4 7v = 0 + -4 Combine like terms: 0 + -4 = -4 7v = -4 Divide each side by '7'. v = -0.5714285714 Simplifying v = -0.5714285714Solution
v = {-4, -0.5714285714}
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