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Simplifying 4f5 + -64f3 = 0 Reorder the terms: -64f3 + 4f5 = 0 Solving -64f3 + 4f5 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '4f3'. 4f3(-16 + f2) = 0 Factor a difference between two squares. 4f3((4 + f)(-4 + f)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'f3' equal to zero and attempt to solve: Simplifying f3 = 0 Solving f3 = 0 Move all terms containing f to the left, all other terms to the right. Simplifying f3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + f)' equal to zero and attempt to solve: Simplifying 4 + f = 0 Solving 4 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + f = 0 + -4 f = 0 + -4 Combine like terms: 0 + -4 = -4 f = -4 Simplifying f = -4Subproblem 3
Set the factor '(-4 + f)' equal to zero and attempt to solve: Simplifying -4 + f = 0 Solving -4 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + f = 0 + 4 Combine like terms: -4 + 4 = 0 0 + f = 0 + 4 f = 0 + 4 Combine like terms: 0 + 4 = 4 f = 4 Simplifying f = 4Solution
f = {-4, 4}
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