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Simplifying f(f + -22) + 72 = 0 Reorder the terms: f(-22 + f) + 72 = 0 (-22 * f + f * f) + 72 = 0 (-22f + f2) + 72 = 0 Reorder the terms: 72 + -22f + f2 = 0 Solving 72 + -22f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (4 + -1f)(18 + -1f) = 0Subproblem 1
Set the factor '(4 + -1f)' equal to zero and attempt to solve: Simplifying 4 + -1f = 0 Solving 4 + -1f = 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 + -1f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1f = 0 + -4 -1f = 0 + -4 Combine like terms: 0 + -4 = -4 -1f = -4 Divide each side by '-1'. f = 4 Simplifying f = 4Subproblem 2
Set the factor '(18 + -1f)' equal to zero and attempt to solve: Simplifying 18 + -1f = 0 Solving 18 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1f = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1f = 0 + -18 -1f = 0 + -18 Combine like terms: 0 + -18 = -18 -1f = -18 Divide each side by '-1'. f = 18 Simplifying f = 18Solution
f = {4, 18}
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