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Simplifying f2 + -15f + 36 = 0 Reorder the terms: 36 + -15f + f2 = 0 Solving 36 + -15f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (3 + -1f)(12 + -1f) = 0Subproblem 1
Set the factor '(3 + -1f)' equal to zero and attempt to solve: Simplifying 3 + -1f = 0 Solving 3 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1f = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1f = 0 + -3 -1f = 0 + -3 Combine like terms: 0 + -3 = -3 -1f = -3 Divide each side by '-1'. f = 3 Simplifying f = 3Subproblem 2
Set the factor '(12 + -1f)' equal to zero and attempt to solve: Simplifying 12 + -1f = 0 Solving 12 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1f = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1f = 0 + -12 -1f = 0 + -12 Combine like terms: 0 + -12 = -12 -1f = -12 Divide each side by '-1'. f = 12 Simplifying f = 12Solution
f = {3, 12}
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