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Simplifying 56v2 + 464v + 128 = 0 Reorder the terms: 128 + 464v + 56v2 = 0 Solving 128 + 464v + 56v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '8'. 8(16 + 58v + 7v2) = 0 Factor a trinomial. 8((8 + v)(2 + 7v)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(8 + v)' equal to zero and attempt to solve: Simplifying 8 + v = 0 Solving 8 + v = 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 + v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + v = 0 + -8 v = 0 + -8 Combine like terms: 0 + -8 = -8 v = -8 Simplifying v = -8Subproblem 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 = {-8, -0.2857142857}
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