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Simplifying 16f2 + -8f + 1 = 0 Reorder the terms: 1 + -8f + 16f2 = 0 Solving 1 + -8f + 16f2 = 0 Solving for variable 'f'. Factor a trinomial. (1 + -4f)(1 + -4f) = 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 '(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 = 0.25Solution
f = {0.25, 0.25}
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