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Simplifying 14v2 + 110v + -16 = 0 Reorder the terms: -16 + 110v + 14v2 = 0 Solving -16 + 110v + 14v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 55v + 7v2) = 0 Factor a trinomial. 2((-8 + -1v)(1 + -7v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve: Simplifying -8 + -1v = 0 Solving -8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = 0 + 8 -1v = 0 + 8 Combine like terms: 0 + 8 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8Subproblem 2
Set the factor '(1 + -7v)' equal to zero and attempt to solve: Simplifying 1 + -7v = 0 Solving 1 + -7v = 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 + -7v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7v = 0 + -1 -7v = 0 + -1 Combine like terms: 0 + -1 = -1 -7v = -1 Divide each side by '-7'. v = 0.1428571429 Simplifying v = 0.1428571429Solution
v = {-8, 0.1428571429}
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