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Simplifying (8f + 1)(8f + 1) = 0 Reorder the terms: (1 + 8f)(8f + 1) = 0 Reorder the terms: (1 + 8f)(1 + 8f) = 0 Multiply (1 + 8f) * (1 + 8f) (1(1 + 8f) + 8f * (1 + 8f)) = 0 ((1 * 1 + 8f * 1) + 8f * (1 + 8f)) = 0 ((1 + 8f) + 8f * (1 + 8f)) = 0 (1 + 8f + (1 * 8f + 8f * 8f)) = 0 (1 + 8f + (8f + 64f2)) = 0 Combine like terms: 8f + 8f = 16f (1 + 16f + 64f2) = 0 Solving 1 + 16f + 64f2 = 0 Solving for variable 'f'. Factor a trinomial. (1 + 8f)(1 + 8f) = 0Subproblem 1
Set the factor '(1 + 8f)' equal to zero and attempt to solve: Simplifying 1 + 8f = 0 Solving 1 + 8f = 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 + 8f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8f = 0 + -1 8f = 0 + -1 Combine like terms: 0 + -1 = -1 8f = -1 Divide each side by '8'. f = -0.125 Simplifying f = -0.125Subproblem 2
Set the factor '(1 + 8f)' equal to zero and attempt to solve: Simplifying 1 + 8f = 0 Solving 1 + 8f = 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 + 8f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8f = 0 + -1 8f = 0 + -1 Combine like terms: 0 + -1 = -1 8f = -1 Divide each side by '8'. f = -0.125 Simplifying f = -0.125Solution
f = {-0.125, -0.125}
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