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Simplifying 4f2 + 7f + -11 = 0 Reorder the terms: -11 + 7f + 4f2 = 0 Solving -11 + 7f + 4f2 = 0 Solving for variable 'f'. Factor a trinomial. (-11 + -4f)(1 + -1f) = 0Subproblem 1
Set the factor '(-11 + -4f)' equal to zero and attempt to solve: Simplifying -11 + -4f = 0 Solving -11 + -4f = 0 Move all terms containing f to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4f = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4f = 0 + 11 -4f = 0 + 11 Combine like terms: 0 + 11 = 11 -4f = 11 Divide each side by '-4'. f = -2.75 Simplifying f = -2.75Subproblem 2
Set the factor '(1 + -1f)' equal to zero and attempt to solve: Simplifying 1 + -1f = 0 Solving 1 + -1f = 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 + -1f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1f = 0 + -1 -1f = 0 + -1 Combine like terms: 0 + -1 = -1 -1f = -1 Divide each side by '-1'. f = 1 Simplifying f = 1Solution
f = {-2.75, 1}
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