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Simplifying f2 + -16f + 63 = 0 Reorder the terms: 63 + -16f + f2 = 0 Solving 63 + -16f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (7 + -1f)(9 + -1f) = 0Subproblem 1
Set the factor '(7 + -1f)' equal to zero and attempt to solve: Simplifying 7 + -1f = 0 Solving 7 + -1f = 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 + -1f = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1f = 0 + -7 -1f = 0 + -7 Combine like terms: 0 + -7 = -7 -1f = -7 Divide each side by '-1'. f = 7 Simplifying f = 7Subproblem 2
Set the factor '(9 + -1f)' equal to zero and attempt to solve: Simplifying 9 + -1f = 0 Solving 9 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1f = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1f = 0 + -9 -1f = 0 + -9 Combine like terms: 0 + -9 = -9 -1f = -9 Divide each side by '-1'. f = 9 Simplifying f = 9Solution
f = {7, 9}
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