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Simplifying 4f2 + -49f + 12 = 0 Reorder the terms: 12 + -49f + 4f2 = 0 Solving 12 + -49f + 4f2 = 0 Solving for variable 'f'. Factor a trinomial. (1 + -4f)(12 + -1f) = 0Subproblem 1
Set the factor '(1 + -4f)' equal to zero and attempt to solve: Simplifying 1 + -4f = 0 Solving 1 + -4f = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4f = 0 + -1 -4f = 0 + -1 Combine like terms: 0 + -1 = -1 -4f = -1 Divide each side by '-4'. f = 0.25 Simplifying f = 0.25Subproblem 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 = {0.25, 12}
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