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Simplifying 6f2 + -47f + -8 = 0 Reorder the terms: -8 + -47f + 6f2 = 0 Solving -8 + -47f + 6f2 = 0 Solving for variable 'f'. Factor a trinomial. (-1 + -6f)(8 + -1f) = 0Subproblem 1
Set the factor '(-1 + -6f)' equal to zero and attempt to solve: Simplifying -1 + -6f = 0 Solving -1 + -6f = 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 + -6f = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6f = 0 + 1 -6f = 0 + 1 Combine like terms: 0 + 1 = 1 -6f = 1 Divide each side by '-6'. f = -0.1666666667 Simplifying f = -0.1666666667Subproblem 2
Set the factor '(8 + -1f)' equal to zero and attempt to solve: Simplifying 8 + -1f = 0 Solving 8 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1f = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1f = 0 + -8 -1f = 0 + -8 Combine like terms: 0 + -8 = -8 -1f = -8 Divide each side by '-1'. f = 8 Simplifying f = 8Solution
f = {-0.1666666667, 8}
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