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Simplifying v2 + -14vf + 49f2 = 0 Reorder the terms: -14fv + 49f2 + v2 = 0 Solving -14fv + 49f2 + v2 = 0 Solving for variable 'f'. Factor a trinomial. (7f + -1v)(7f + -1v) = 0Subproblem 1
Set the factor '(7f + -1v)' equal to zero and attempt to solve: Simplifying 7f + -1v = 0 Solving 7f + -1v = 0 Move all terms containing f to the left, all other terms to the right. Add 'v' to each side of the equation. 7f + -1v + v = 0 + v Combine like terms: -1v + v = 0 7f + 0 = 0 + v 7f = 0 + v Remove the zero: 7f = v Divide each side by '7'. f = 0.1428571429v Simplifying f = 0.1428571429vSubproblem 2
Set the factor '(7f + -1v)' equal to zero and attempt to solve: Simplifying 7f + -1v = 0 Solving 7f + -1v = 0 Move all terms containing f to the left, all other terms to the right. Add 'v' to each side of the equation. 7f + -1v + v = 0 + v Combine like terms: -1v + v = 0 7f + 0 = 0 + v 7f = 0 + v Remove the zero: 7f = v Divide each side by '7'. f = 0.1428571429v Simplifying f = 0.1428571429vSolution
f = {0.1428571429v, 0.1428571429v}
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