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Simplifying 5f2 + 2f + f2 = 0 Reorder the terms: 2f + 5f2 + f2 = 0 Combine like terms: 5f2 + f2 = 6f2 2f + 6f2 = 0 Solving 2f + 6f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '2f'. 2f(1 + 3f) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'f' equal to zero and attempt to solve: Simplifying f = 0 Solving f = 0 Move all terms containing f to the left, all other terms to the right. Simplifying f = 0Subproblem 2
Set the factor '(1 + 3f)' equal to zero and attempt to solve: Simplifying 1 + 3f = 0 Solving 1 + 3f = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3f = 0 + -1 3f = 0 + -1 Combine like terms: 0 + -1 = -1 3f = -1 Divide each side by '3'. f = -0.3333333333 Simplifying f = -0.3333333333Solution
f = {0, -0.3333333333}
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