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Simplifying v2 + 2vf + -35f2 = 0 Reorder the terms: 2fv + -35f2 + v2 = 0 Solving 2fv + -35f2 + v2 = 0 Solving for variable 'f'. Factor a trinomial. (-7f + -1v)(5f + -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 '(5f + -1v)' equal to zero and attempt to solve: Simplifying 5f + -1v = 0 Solving 5f + -1v = 0 Move all terms containing f to the left, all other terms to the right. Add 'v' to each side of the equation. 5f + -1v + v = 0 + v Combine like terms: -1v + v = 0 5f + 0 = 0 + v 5f = 0 + v Remove the zero: 5f = v Divide each side by '5'. f = 0.2v Simplifying f = 0.2vSolution
f = {-0.1428571429v, 0.2v}
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