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Simplifying 98v2 + -112v + 32 = 0 Reorder the terms: 32 + -112v + 98v2 = 0 Solving 32 + -112v + 98v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + -56v + 49v2) = 0 Factor a trinomial. 2((4 + -7v)(4 + -7v)) = 0 Ignore the factor 2.Subproblem 1
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 = 0.5714285714Subproblem 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 = {0.5714285714, 0.5714285714}
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