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Simplifying f3 + -9f = 0 Reorder the terms: -9f + f3 = 0 Solving -9f + f3 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), 'f'. f(-9 + f2) = 0 Factor a difference between two squares. f((3 + f)(-3 + f)) = 0Subproblem 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 '(3 + f)' equal to zero and attempt to solve: Simplifying 3 + f = 0 Solving 3 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + f = 0 + -3 Combine like terms: 3 + -3 = 0 0 + f = 0 + -3 f = 0 + -3 Combine like terms: 0 + -3 = -3 f = -3 Simplifying f = -3Subproblem 3
Set the factor '(-3 + f)' equal to zero and attempt to solve: Simplifying -3 + f = 0 Solving -3 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + f = 0 + 3 Combine like terms: -3 + 3 = 0 0 + f = 0 + 3 f = 0 + 3 Combine like terms: 0 + 3 = 3 f = 3 Simplifying f = 3Solution
f = {0, -3, 3}
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