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Simplifying 16v2 + -40vf + 25f2 = 0 Reorder the terms: -40fv + 25f2 + 16v2 = 0 Solving -40fv + 25f2 + 16v2 = 0 Solving for variable 'f'. Factor a trinomial. (5f + -4v)(5f + -4v) = 0Subproblem 1
Set the factor '(5f + -4v)' equal to zero and attempt to solve: Simplifying 5f + -4v = 0 Solving 5f + -4v = 0 Move all terms containing f to the left, all other terms to the right. Add '4v' to each side of the equation. 5f + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 5f + 0 = 0 + 4v 5f = 0 + 4v Remove the zero: 5f = 4v Divide each side by '5'. f = 0.8v Simplifying f = 0.8vSubproblem 2
Set the factor '(5f + -4v)' equal to zero and attempt to solve: Simplifying 5f + -4v = 0 Solving 5f + -4v = 0 Move all terms containing f to the left, all other terms to the right. Add '4v' to each side of the equation. 5f + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 5f + 0 = 0 + 4v 5f = 0 + 4v Remove the zero: 5f = 4v Divide each side by '5'. f = 0.8v Simplifying f = 0.8vSolution
f = {0.8v, 0.8v}
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