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Simplifying 7f(f + 5) = 0 Reorder the terms: 7f(5 + f) = 0 (5 * 7f + f * 7f) = 0 (35f + 7f2) = 0 Solving 35f + 7f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '7f'. 7f(5 + f) = 0 Ignore the factor 7.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 '(5 + f)' equal to zero and attempt to solve: Simplifying 5 + f = 0 Solving 5 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + f = 0 + -5 Combine like terms: 5 + -5 = 0 0 + f = 0 + -5 f = 0 + -5 Combine like terms: 0 + -5 = -5 f = -5 Simplifying f = -5Solution
f = {0, -5}
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