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Simplifying 4f(f + -7) = 0 Reorder the terms: 4f(-7 + f) = 0 (-7 * 4f + f * 4f) = 0 (-28f + 4f2) = 0 Solving -28f + 4f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '4f'. 4f(-7 + f) = 0 Ignore the factor 4.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 '(-7 + f)' equal to zero and attempt to solve: Simplifying -7 + f = 0 Solving -7 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + f = 0 + 7 Combine like terms: -7 + 7 = 0 0 + f = 0 + 7 f = 0 + 7 Combine like terms: 0 + 7 = 7 f = 7 Simplifying f = 7Solution
f = {0, 7}
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