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Simplifying f2 + -22f = -72f Reorder the terms: -22f + f2 = -72f Solving -22f + f2 = -72f Solving for variable 'f'. Reorder the terms: -22f + 72f + f2 = -72f + 72f Combine like terms: -22f + 72f = 50f 50f + f2 = -72f + 72f Combine like terms: -72f + 72f = 0 50f + f2 = 0 Factor out the Greatest Common Factor (GCF), 'f'. f(50 + 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 '(50 + f)' equal to zero and attempt to solve: Simplifying 50 + f = 0 Solving 50 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + f = 0 + -50 Combine like terms: 50 + -50 = 0 0 + f = 0 + -50 f = 0 + -50 Combine like terms: 0 + -50 = -50 f = -50 Simplifying f = -50Solution
f = {0, -50}
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