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Simplifying 6f(f + 4) = 0 Reorder the terms: 6f(4 + f) = 0 (4 * 6f + f * 6f) = 0 (24f + 6f2) = 0 Solving 24f + 6f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '6f'. 6f(4 + f) = 0 Ignore the factor 6.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 '(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 = {0, -4}
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