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Simplifying v2 + -8vf + 16f2 = 0 Reorder the terms: -8fv + 16f2 + v2 = 0 Solving -8fv + 16f2 + v2 = 0 Solving for variable 'f'. Factor a trinomial. (4f + -1v)(4f + -1v) = 0Subproblem 1
Set the factor '(4f + -1v)' equal to zero and attempt to solve: Simplifying 4f + -1v = 0 Solving 4f + -1v = 0 Move all terms containing f to the left, all other terms to the right. Add 'v' to each side of the equation. 4f + -1v + v = 0 + v Combine like terms: -1v + v = 0 4f + 0 = 0 + v 4f = 0 + v Remove the zero: 4f = v Divide each side by '4'. f = 0.25v Simplifying f = 0.25vSubproblem 2
Set the factor '(4f + -1v)' equal to zero and attempt to solve: Simplifying 4f + -1v = 0 Solving 4f + -1v = 0 Move all terms containing f to the left, all other terms to the right. Add 'v' to each side of the equation. 4f + -1v + v = 0 + v Combine like terms: -1v + v = 0 4f + 0 = 0 + v 4f = 0 + v Remove the zero: 4f = v Divide each side by '4'. f = 0.25v Simplifying f = 0.25vSolution
f = {0.25v, 0.25v}
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