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Simplifying 16f2 + 24f + 9 = 0 Reorder the terms: 9 + 24f + 16f2 = 0 Solving 9 + 24f + 16f2 = 0 Solving for variable 'f'. Factor a trinomial. (3 + 4f)(3 + 4f) = 0Subproblem 1
Set the factor '(3 + 4f)' equal to zero and attempt to solve: Simplifying 3 + 4f = 0 Solving 3 + 4f = 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 + 4f = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4f = 0 + -3 4f = 0 + -3 Combine like terms: 0 + -3 = -3 4f = -3 Divide each side by '4'. f = -0.75 Simplifying f = -0.75Subproblem 2
Set the factor '(3 + 4f)' equal to zero and attempt to solve: Simplifying 3 + 4f = 0 Solving 3 + 4f = 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 + 4f = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4f = 0 + -3 4f = 0 + -3 Combine like terms: 0 + -3 = -3 4f = -3 Divide each side by '4'. f = -0.75 Simplifying f = -0.75Solution
f = {-0.75, -0.75}
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