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Simplifying 16v2 + 72vf + 81f2 = 0 Reorder the terms: 72fv + 81f2 + 16v2 = 0 Solving 72fv + 81f2 + 16v2 = 0 Solving for variable 'f'. Factor a trinomial. (9f + 4v)(9f + 4v) = 0Subproblem 1
Set the factor '(9f + 4v)' equal to zero and attempt to solve: Simplifying 9f + 4v = 0 Solving 9f + 4v = 0 Move all terms containing f to the left, all other terms to the right. Add '-4v' to each side of the equation. 9f + 4v + -4v = 0 + -4v Combine like terms: 4v + -4v = 0 9f + 0 = 0 + -4v 9f = 0 + -4v Remove the zero: 9f = -4v Divide each side by '9'. f = -0.4444444444v Simplifying f = -0.4444444444vSubproblem 2
Set the factor '(9f + 4v)' equal to zero and attempt to solve: Simplifying 9f + 4v = 0 Solving 9f + 4v = 0 Move all terms containing f to the left, all other terms to the right. Add '-4v' to each side of the equation. 9f + 4v + -4v = 0 + -4v Combine like terms: 4v + -4v = 0 9f + 0 = 0 + -4v 9f = 0 + -4v Remove the zero: 9f = -4v Divide each side by '9'. f = -0.4444444444v Simplifying f = -0.4444444444vSolution
f = {-0.4444444444v, -0.4444444444v}
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